Lorene::Star_bhns Class Reference
[Stars and black holes]

Class for stars in black hole-neutron star binaries. More...

#include <star_bhns.h>

Inheritance diagram for Lorene::Star_bhns:
Lorene::Star

List of all members.

Public Member Functions

 Star_bhns (Map &mp_i, int nzet_i, const Eos &eos_i, bool irrot_i)
 Standard constructor.
 Star_bhns (const Star_bhns &)
 Copy constructor.
 Star_bhns (Map &mp_i, const Eos &eos_i, FILE *fich)
 Constructor from a file (see sauve(FILE*) ).
virtual ~Star_bhns ()
 Destructor.
void operator= (const Star_bhns &)
 Assignment to another Star_bhns.
Scalarset_pot_centri ()
 Read/write the centrifugal potential.
Scalarset_lapconf_auto ()
 Read/write of the lapconf function generated by the neutron star.
Scalarset_lapconf_comp ()
 Read/write of the lapconf function generated by the companion black hole.
Vectorset_shift_auto ()
 Read/write of the shift vector generated by the neutron star.
Vectorset_shift_comp ()
 Read/write of the shift vector generated by the companion black hole.
Scalarset_confo_auto ()
 Read/write of the conformal factor generated by the neutron star.
Scalarset_confo_comp ()
 Read/write of the conformal factor generated by the companion black hole.
bool is_irrotational () const
 Returns true for an irrotational motion, false for a corotating one.
const Scalarget_psi0 () const
 Returns the non-translational part of the velocity potential.
const Vectorget_d_psi () const
 Returns the covariant derivative of the velocity potential (Spherical components with respect to the mapping of the star).
const Vectorget_wit_w () const
 Returns the spatial projection of the fluid 3-velocity with respect to the co-orbiting observer.
const Scalarget_loggam () const
 Returns the logarithm of the Lorentz factor between the fluid and the co-orbiting observer.
const Vectorget_bsn () const
 Returns the shift vector, divided by N , of the rotating coordinates, $\beta^i/N$.
const Scalarget_gam () const
 Returns the Lorentz factor gam.
const Scalarget_gam0 () const
 Returns the Lorentz factor gam0.
const Scalarget_pot_centri () const
 Returns the centrifugal potential.
const Scalarget_lapconf_auto () const
 Returns the part of the lapconf function generated by the star.
const Scalarget_lapconf_comp () const
 Returns the part of the lapconf function generated by the companion black hole.
const Scalarget_lapconf_tot () const
 Returns the total lapconf function.
const Scalarget_lapse_auto () const
const Scalarget_lapse_tot () const
 Returns the total lapse function.
const Vectorget_d_lapconf_auto () const
 Returns the derivative of the lapse function generated by the star.
const Vectorget_d_lapconf_comp () const
 Returns the derivative of the lapse function generated by the companion black hole.
const Vectorget_shift_auto () const
 Returns the part of the shift vector generated by the star.
const Vectorget_shift_comp () const
 Returns the part of the shift vector generated by the companion black hole.
const Vectorget_shift_tot () const
 Returns the part total shift vector.
const Tensorget_d_shift_auto () const
 Returns the derivative of the shift vector generated by the star.
const Tensorget_d_shift_comp () const
 Returns the derivative of the shift vector generated by the companion black hole.
const Scalarget_confo_auto () const
 Returns the part of the conformal factor generated by the star.
const Scalarget_confo_comp () const
 Returns the part of the conformal factor generated by the companion black hole.
const Scalarget_confo_tot () const
 Returns the total conformal factor.
const Vectorget_d_confo_auto () const
 Returns the derivative of the conformal factor generated by the star.
const Vectorget_d_confo_comp () const
 Returns the derivative of the conformal factor generated by the companion black hole.
const Scalarget_psi4 () const
 Returns the fourth power of the total conformal factor.
const Sym_tensorget_taij_auto () const
 Returns the part of the extrinsic curvature tensor $\tilde A^{ij}$ generated by the neutron star part.
const Scalarget_taij_quad_auto () const
 Returns the part of the scalar $\eta_{ik} \eta_{jl} A^{ij} A^{kl}$ generated by $A_{ij}^{\rm auto}$.
virtual void sauve (FILE *) const
 Save in a file.
virtual double mass_b () const
 Baryon mass.
virtual double mass_b_bhns (bool kerrschild, const double &mass_bh, const double &sepa) const
virtual double mass_g () const
 Gravitational mass.
virtual double mass_g_bhns () const
void hydro_euler_bhns (bool kerrschild, const double &mass_bh, const double &sepa)
 Computes the hydrodynamical quantities relative to the Eulerian observer from those in the fluid frame, as well as wit_w and loggam .
void update_metric_bhns (const Hole_bhns &hole, const Star_bhns &star_prev, double relax)
 Computes metric coefficients from known potentials with relaxation when the companion is a black hole.
void update_met_der_comp_bhns (const Hole_bhns &hole)
 Computes derivative of metric quantities from the companion black hole.
void kinema_bhns (bool kerrschild, const double &mass_bh, const double &sepa, double omega, double x_rot, double y_rot)
 Computes the quantities bsn and pot_centri .
void fait_d_psi_bhns ()
 Computes the gradient of the total velocity potential $\psi$.
void extr_curv_bhns ()
 Computes taij_auto , taij_quad_auto from shift_auto , lapse_auto , confo_auto .
void equilibrium_bhns (double ent_c, const double &mass_bh, const double &sepa, bool kerrschild, int mer, int mermax_ns, int mermax_potvit, int mermax_poisson, int filter_r, int filter_r_s, int filter_p_s, double relax_poisson, double relax_potvit, double thres_adapt, double resize_ns, const Tbl &fact_resize, Tbl &diff)
 Computes an equilibrium configuration.
double velo_pot_bhns (const double &mass_bh, const double &sepa, bool kerrschild, int mermax, double precis, double relax)
 Computes the non-translational part of the velocity scalar potential $\psi0$ by solving the continuity equation.
double chi_rp (double radius, double phi)
 Sensitive indicator of the mass-shedding to the direction of $r$, $\theta=\pi/2$, $\phi$.
double radius_p (double phi)
 Radius of the star to the direction of $\theta=\pi/2$ and $\phi$.
double phi_min ()
 Azimuthal angle when the indicator of the mass-shedding takes its minimum chi_min.
double phi_local_min (double phi_ini)
 Azimuthal angle when the indicator of the mass-shedding takes its local minimum.
void relax_bhns (const Star_bhns &star_prev, double relax_ent, double relax_met, int mer, int fmer_met)
 Performs a relaxation on ent , lapse_auto , shift_auto , confo_auto .
void equil_spher_bhns (double ent_c, double precis)
 Computes a spherical configuration.
Mapset_mp ()
 Read/write of the mapping.
void set_enthalpy (const Scalar &)
 Assignment of the enthalpy field.
void equation_of_state ()
 Computes the proper baryon and energy density, as well as pressure from the enthalpy.
virtual void hydro_euler ()
 Computes the hydrodynamical quantities relative to the Eulerian observer from those in the fluid frame (nbar, ener and press).
virtual void equilibrium_spher (double ent_c, double precis=1.e-14, const Tbl *pent_limit=0x0)
 Computes a spherical static configuration.
const Mapget_mp () const
 Returns the mapping.
int get_nzet () const
 Returns the number of domains occupied by the star.
const Eosget_eos () const
 Returns the equation of state.
const Scalarget_ent () const
 Returns the enthalpy field.
const Scalarget_nbar () const
 Returns the proper baryon density.
const Scalarget_ener () const
 Returns the proper total energy density.
const Scalarget_press () const
 Returns the fluid pressure.
const Scalarget_ener_euler () const
 Returns the total energy density with respect to the Eulerian observer.
const Scalarget_s_euler () const
 Returns the trace of the stress tensor in the Eulerian frame.
const Scalarget_gam_euler () const
 Returns the Lorentz factor between the fluid and Eulerian observers.
const Vectorget_u_euler () const
 Returns the fluid 3-velocity with respect to the Eulerian observer.
const Tensorget_stress_euler () const
 Returns the spatial part of the stress-energy tensor with respect to the Eulerian observer.
const Scalarget_logn () const
 Returns the logarithm of the lapse N.
const Scalarget_nn () const
 Returns the lapse function N.
const Vectorget_beta () const
 Returns the shift vector $\beta^i$.
const Scalarget_lnq () const
const Metricget_gamma () const
 Returns the 3-metric $\gamma$.
double ray_eq () const
 Coordinate radius at $\phi=0$, $\theta=\pi/2$ [r_unit].
double ray_eq_pis2 () const
 Coordinate radius at $\phi=\pi/2$, $\theta=\pi/2$ [r_unit].
double ray_eq_pi () const
 Coordinate radius at $\phi=\pi$, $\theta=\pi/2$ [r_unit].
double ray_eq_3pis2 () const
 Coordinate radius at $\phi=3\pi/2$, $\theta=\pi/2$ [r_unit].
double ray_pole () const
 Coordinate radius at $\theta=0$ [r_unit].
virtual const Itbll_surf () const
 Description of the stellar surface: returns a 2-D Itbl containing the values of the domain index l on the surface at the collocation points in $(\theta', \phi')$.
const Tblxi_surf () const
 Description of the stellar surface: returns a 2-D Tbl containing the values of the radial coordinate $\xi$ on the surface at the collocation points in $(\theta', \phi')$.

Protected Member Functions

virtual void del_deriv () const
 Deletes all the derived quantities.
void set_der_0x0 () const
 Sets to 0x0 all the pointers on derived quantities.
virtual ostream & operator>> (ostream &) const
 Operator >> (virtual function called by the operator <<).
virtual void del_hydro_euler ()
 Sets to ETATNONDEF (undefined state) the hydrodynamical quantities relative to the Eulerian observer.

Protected Attributes

Map_af mp_aff
 Affine mapping for solving poisson's equations of metric quantities.
bool irrotational
 true for an irrotational star, false for a corotating one
Scalar psi0
 Scalar potential $\Psi_0$ of the non-translational part of fluid 4-velocity (in the irrotational case).
Vector d_psi
 Gradient of $\Psi$ (in the irrotational case) (Spherical components with respect to the mapping of the star).
Vector wit_w
 Spatial projection of the fluid 3-velocity with respect to the co-orbiting observer.
Scalar loggam
 Logarithm of the Lorentz factor between the fluid and the co-orbiting observer.
Vector bsn
 3-vector shift, divided by N , of the rotating coordinates, $\beta^i/N$.
Scalar gam
 Lorentz factor between the fluid and the co-orbiting observer.
Scalar gam0
 Lorentz factor between the co-orbiting observer and the Eulerian one.
Scalar pot_centri
 Centrifugal potential.
Scalar lapconf_auto
 Lapconf function generated by the star.
Scalar lapconf_comp
 Lapconf function generated by the companion black hole.
Scalar lapconf_tot
 Total lapconf function.
Scalar lapse_auto
 Lapse function generated by the "star".
Scalar lapse_tot
 Total lapse function.
Vector d_lapconf_auto
 Derivative of the lapconf function generated by the star $ \partial_j \alpha $.
Vector d_lapconf_comp
 Derivative of the lapconf function generated by the companion black hole.
Vector shift_auto
 Shift vector generated by the star.
Vector shift_comp
 Shift vector generated by the companion black hole.
Vector shift_tot
 Total shift vector.
Tensor d_shift_auto
 Derivative of the shift vector generated by the star $ \eta^{ik} \partial_k \beta^j $.
Tensor d_shift_comp
 Derivative of the shift vector generated by the companion black hole.
Scalar confo_auto
 Conformal factor generated by the star.
Scalar confo_comp
 Conformal factor generated by the companion black hole.
Scalar confo_tot
 Total conformal factor.
Vector d_confo_auto
 Derivative of the conformal factor generated by the star $ \partial_j \psi $.
Vector d_confo_comp
 Derivative of the conformal factor generated by the companion black hole.
Scalar psi4
 Fourth power of the total conformal factor.
Sym_tensor taij_auto
 Part of the extrinsic curvature tensor $ A^{ij}$ generated by shift_auto , lapse_auto , and confo_auto .
Scalar taij_quad_auto
 Part of the scalar $\eta_{ik} \eta_{jl} A^{ij} A^{kl}$ generated by $A_{ij}^{\rm auto}$.
Metric_flat flat
 Flat metric defined on the mapping (Spherical components with respect to the mapping of the star ).
Scalar ssjm1_lapconf
 Effective source at the previous step for the resolution of the Poisson equation for lapconf_auto .
Scalar ssjm1_confo
 Effective source at the previous step for the resolution of the Poisson equation for confo_auto .
Scalar ssjm1_khi
 Effective source at the previous step for the resolution of the Poisson equation for the scalar $\chi$ by means of Map_et::poisson .
Vector ssjm1_wshift
 Effective source at the previous step for the resolution of the vector Poisson equation for $W^i$ by means of Map_et::poisson .
double * p_mass_b_bhns
 Baryon mass.
double * p_mass_g_bhns
 Gravitational mass.
Mapmp
 Mapping associated with the star.
int nzet
 Number of domains of *mp occupied by the star.
const Eoseos
 Equation of state of the stellar matter.
Scalar ent
 Log-enthalpy.
Scalar nbar
 Baryon density in the fluid frame.
Scalar ener
 Total energy density in the fluid frame.
Scalar press
 Fluid pressure.
Scalar ener_euler
 Total energy density in the Eulerian frame.
Scalar s_euler
 Trace of the stress scalar in the Eulerian frame.
Scalar gam_euler
 Lorentz factor between the fluid and Eulerian observers.
Vector u_euler
 Fluid 3-velocity with respect to the Eulerian observer.
Sym_tensor stress_euler
 Spatial part of the stress-energy tensor with respect to the Eulerian observer.
Scalar logn
 Logarithm of the lapse N .
Scalar nn
 Lapse function N .
Vector beta
 Shift vector.
Scalar lnq
Metric gamma
 3-metric
double * p_ray_eq
 Coordinate radius at $\phi=0$, $\theta=\pi/2$.
double * p_ray_eq_pis2
 Coordinate radius at $\phi=\pi/2$, $\theta=\pi/2$.
double * p_ray_eq_pi
 Coordinate radius at $\phi=\pi$, $\theta=\pi/2$.
double * p_ray_eq_3pis2
 Coordinate radius at $\phi=3\pi/2$, $\theta=\pi/2$.
double * p_ray_pole
 Coordinate radius at $\theta=0$.
Itblp_l_surf
 Description of the stellar surface: 2-D Itbl containing the values of the domain index l on the surface at the collocation points in $(\theta', \phi')$.
Tblp_xi_surf
 Description of the stellar surface: 2-D Tbl containing the values of the radial coordinate $\xi$ on the surface at the collocation points in $(\theta', \phi')$.
double * p_mass_b
 Baryon mass.
double * p_mass_g
 Gravitational mass.

Friends

class Bin_bhns
ostream & operator<< (ostream &, const Star &)
 Display.

Detailed Description

Class for stars in black hole-neutron star binaries.

()

Definition at line 59 of file star_bhns.h.


Constructor & Destructor Documentation

Lorene::Star_bhns::Star_bhns ( Map mp_i,
int  nzet_i,
const Eos eos_i,
bool  irrot_i 
)

Standard constructor.

Parameters:
mp_i Mapping on which the star will be defined
nzet_i Number of domains occupied by the star
eos_i Equation of state of the stellar matter
irrot_i should be true for an irrotational star, false for a corotating one

Definition at line 76 of file star_bhns.C.

References bsn, Lorene::Vector::change_triad(), confo_auto, confo_comp, confo_tot, d_confo_auto, d_confo_comp, d_lapconf_auto, d_lapconf_comp, d_psi, d_shift_auto, d_shift_comp, gam, gam0, Lorene::Map::get_bvect_cart(), lapconf_auto, lapconf_comp, lapconf_tot, lapse_auto, lapse_tot, loggam, pot_centri, psi0, psi4, set_der_0x0(), Lorene::Tensor::set_etat_zero(), shift_auto, shift_comp, shift_tot, ssjm1_confo, ssjm1_khi, ssjm1_lapconf, ssjm1_wshift, Lorene::Scalar::std_spectral_base(), taij_auto, taij_quad_auto, Lorene::Star::u_euler, and wit_w.

Lorene::Star_bhns::Star_bhns ( const Star_bhns star  ) 

Copy constructor.

Definition at line 181 of file star_bhns.C.

References set_der_0x0().

Lorene::Star_bhns::Star_bhns ( Map mp_i,
const Eos eos_i,
FILE *  fich 
)

Constructor from a file (see sauve(FILE*) ).

Parameters:
mp_i Mapping on which the star will be defined
eos_i Equation of state of the stellar matter
fich input file (must have been created by the function sauve )

Definition at line 224 of file star_bhns.C.

References bsn, Lorene::Vector::change_triad(), confo_comp, confo_tot, d_confo_auto, d_confo_comp, d_lapconf_auto, d_lapconf_comp, d_psi, d_shift_auto, d_shift_comp, gam, gam0, Lorene::Star::gam_euler, Lorene::Map::get_bvect_cart(), Lorene::Map::get_mg(), irrotational, lapconf_comp, lapconf_tot, lapse_auto, lapse_tot, loggam, Lorene::Star::mp, pot_centri, psi0, psi4, set_der_0x0(), Lorene::Tensor::set_etat_zero(), shift_comp, shift_tot, Lorene::Scalar::std_spectral_base(), taij_auto, taij_quad_auto, Lorene::Star::u_euler, and wit_w.

Lorene::Star_bhns::~Star_bhns (  )  [virtual]

Destructor.

Definition at line 332 of file star_bhns.C.

References del_deriv().


Member Function Documentation

double Lorene::Star_bhns::chi_rp ( double  radius,
double  phi 
)

Sensitive indicator of the mass-shedding to the direction of $r$, $\theta=\pi/2$, $\phi$.

Parameters:
radius [input] Radial coordinate
phi [input] Azimuthal angle

Definition at line 64 of file star_bhns_chi.C.

References Lorene::Scalar::dsdr(), Lorene::Star::ent, Lorene::Star::ray_pole(), and Lorene::Scalar::val_point().

void Lorene::Star_bhns::del_deriv (  )  const [protected, virtual]

Deletes all the derived quantities.

Reimplemented from Lorene::Star.

Definition at line 344 of file star_bhns.C.

References p_mass_b_bhns, p_mass_g_bhns, and set_der_0x0().

void Lorene::Star::del_hydro_euler (  )  [protected, virtual, inherited]
void Lorene::Star::equation_of_state (  )  [inherited]
void Lorene::Star_bhns::equil_spher_bhns ( double  ent_c,
double  precis 
)
void Lorene::Star_bhns::equilibrium_bhns ( double  ent_c,
const double &  mass_bh,
const double &  sepa,
bool  kerrschild,
int  mer,
int  mermax_ns,
int  mermax_potvit,
int  mermax_poisson,
int  filter_r,
int  filter_r_s,
int  filter_p_s,
double  relax_poisson,
double  relax_potvit,
double  thres_adapt,
double  resize_ns,
const Tbl fact_resize,
Tbl diff 
)

Computes an equilibrium configuration.

Parameters:
ent_c [input] Central enthalpy
mass_bh [input] BH mass in the background metric
sepa [input] Separation between NS and BH
kerrschild should be true for a Kerr-Schild background, false for a Conformally flat one
mer [input] Number of iteration
mermax_ns [input] Maximum number of iteration steps
mermax_potvit [input] Maximum number of steps in Map_radial::poisson_compact
mermax_poisson [input] Maximum number of steps in poisson scalar
filter_r [input] No. points to be deleted for (r): lap,conf
filter_r_s [input] No. points to be deleted for (r): shift
filter_p_s [input] No. points to be deleted for (phi): shift
relax_poisson [input] Relaxation factor in poisson scalar
relax_potvit [input] Relaxation factor in Map_radial::poisson_compact
thres_adapt [input] Threshold on dH/dr for the adaptation of the mapping
resize_ns [input] Resize factor for the first shell
fact_resize [input] 1-D Tbl for the input of some factors : \ fact(0) : A resizing factor for the first shell
diff [output] 1-D Tbl for the storage of some error indicators :

Definition at line 73 of file star_bhns_equilibrium.C.

References Lorene::abs(), Lorene::Map::adapt(), Lorene::Param::add_cmp_mod(), Lorene::Param::add_double(), Lorene::Param::add_int(), Lorene::Param::add_int_mod(), Lorene::Param::add_tbl(), Lorene::Param::add_tenseur_mod(), Lorene::Scalar::annule(), Lorene::Cmp::annule_hard(), chi_rp(), confo_auto, confo_tot, d_confo_auto, d_lapconf_auto, Lorene::Tensor::dec_dzpuis(), Lorene::Scalar::derive_con(), Lorene::Tensor::derive_con(), Lorene::diffrel(), Lorene::Vector::divergence(), Lorene::Tensor::divergence(), Lorene::Scalar::dsdr(), Lorene::Scalar::dsdx(), Lorene::Scalar::dsdy(), Lorene::Star::ener_euler, Lorene::Star::ent, Lorene::Star::equation_of_state(), Lorene::exp(), Lorene::Scalar::filtre(), flat, gam, gam0, Lorene::Map::get_bvect_cart(), Lorene::Scalar::get_dzpuis(), Lorene::Scalar::get_etat(), Lorene::Map::get_mg(), Lorene::Mg3d::get_np(), Lorene::Mg3d::get_nr(), Lorene::Mg3d::get_nt(), Lorene::Mg3d::get_nzone(), Lorene::Map_et::homothetie(), hydro_euler_bhns(), Lorene::Scalar::inc_dzpuis(), irrotational, lapconf_auto, lapconf_comp, Lorene::Scalar::laplacian(), Lorene::log(), loggam, Lorene::max(), Lorene::Star::mp, Lorene::Star::nzet, phi_min(), Lorene::Scalar::poisson(), pot_centri, Lorene::pow(), Lorene::Star::press, radius_p(), Lorene::Star::ray_eq_pi(), Lorene::Star::ray_pole(), Lorene::Map::reevaluate(), Lorene::Map::resize(), Lorene::Star::s_euler, Lorene::Vector::set(), Lorene::Tenseur::set(), Lorene::Tbl::set(), Lorene::Tenseur::set_etat_qcq(), Lorene::Tbl::set_etat_qcq(), Lorene::Scalar::set_etat_qcq(), Lorene::Cmp::set_etat_qcq(), Lorene::Scalar::set_spectral_va(), Lorene::Tenseur::set_std_base(), shift_auto, Lorene::Valeur::smooth(), Lorene::sqrt(), ssjm1_confo, ssjm1_khi, ssjm1_lapconf, ssjm1_wshift, Lorene::Vector::std_spectral_base(), Lorene::Scalar::std_spectral_base(), taij_auto, taij_quad_auto, Lorene::Star::u_euler, Lorene::Scalar::val_grid_point(), Lorene::Scalar::val_point(), Lorene::Map::val_r(), velo_pot_bhns(), Lorene::Map::x, and Lorene::Map::y.

void Lorene::Star::equilibrium_spher ( double  ent_c,
double  precis = 1.e-14,
const Tbl pent_limit = 0x0 
) [virtual, inherited]

Computes a spherical static configuration.

Parameters:
ent_c [input] central value of the enthalpy
precis [input] threshold in the relative difference between the enthalpy fields of two consecutive steps to stop the iterative procedure (default value: 1.e-14)
ent_limit [input] : array of enthalpy values to be set at the boundaries between the domains; if set to 0x0 (default), the initial values will be kept.

Definition at line 101 of file star_equil_spher.C.

References Lorene::Star_rot::a_car, Lorene::Map_et::adapt(), Lorene::Param::add_double(), Lorene::Param::add_int(), Lorene::Param::add_int_mod(), Lorene::Param::add_tbl(), Lorene::Scalar::annule(), Lorene::Star_rot::b_car, Lorene::Star_rot::bbb, Lorene::diffrel(), Lorene::Scalar::dsdr(), Lorene::Map_af::dsdr(), Lorene::Star_rot::dzeta, Lorene::Star::ener, Lorene::Star::ener_euler, Lorene::Star::ent, Lorene::Star::equation_of_state(), Lorene::exp(), Lorene::Star::gam_euler, Lorene::Star::gamma, Lorene::Map_et::get_alpha(), Lorene::Map_af::get_alpha(), Lorene::Map_et::get_beta(), Lorene::Map_af::get_beta(), Lorene::Map::get_bvect_cart(), Lorene::Map::get_mg(), Lorene::Mg3d::get_nr(), Lorene::Mg3d::get_nt(), Lorene::Mg3d::get_nzone(), Lorene::Map_af::homothetie(), Lorene::Scalar::integrale(), Lorene::Star::logn, Lorene::Star::mass_b(), Lorene::Star::mass_g(), Lorene::Star::mp, Lorene::Star::nn, Lorene::norme(), Lorene::Star::nzet, Lorene::Map_af::poisson(), Lorene::Star::press, Lorene::Star::s_euler, Lorene::Vector::set(), Lorene::Map_af::set_alpha(), Lorene::Map_af::set_beta(), Lorene::Scalar::set_dzpuis(), Lorene::Cmp::set_etat_qcq(), Lorene::Scalar::set_etat_zero(), Lorene::sqrt(), Lorene::Scalar::std_spectral_base(), Lorene::Star::u_euler, Lorene::Scalar::val_grid_point(), and Lorene::Map::val_r().

void Lorene::Star_bhns::extr_curv_bhns (  ) 
void Lorene::Star_bhns::fait_d_psi_bhns (  ) 
const Vector& Lorene::Star::get_beta (  )  const [inline, inherited]

Returns the shift vector $\beta^i$.

Definition at line 402 of file star.h.

References Lorene::Star::beta.

const Vector& Lorene::Star_bhns::get_bsn (  )  const [inline]

Returns the shift vector, divided by N , of the rotating coordinates, $\beta^i/N$.

(Spherical components with respect to the mapping of the star)

Definition at line 327 of file star_bhns.h.

References bsn.

const Scalar& Lorene::Star_bhns::get_confo_auto (  )  const [inline]

Returns the part of the conformal factor generated by the star.

Definition at line 383 of file star_bhns.h.

References confo_auto.

const Scalar& Lorene::Star_bhns::get_confo_comp (  )  const [inline]

Returns the part of the conformal factor generated by the companion black hole.

Definition at line 388 of file star_bhns.h.

References confo_comp.

const Scalar& Lorene::Star_bhns::get_confo_tot (  )  const [inline]

Returns the total conformal factor.

Definition at line 391 of file star_bhns.h.

References confo_tot.

const Vector& Lorene::Star_bhns::get_d_confo_auto (  )  const [inline]

Returns the derivative of the conformal factor generated by the star.

Definition at line 396 of file star_bhns.h.

References d_confo_auto.

const Vector& Lorene::Star_bhns::get_d_confo_comp (  )  const [inline]

Returns the derivative of the conformal factor generated by the companion black hole.

Definition at line 401 of file star_bhns.h.

References d_confo_comp.

const Vector& Lorene::Star_bhns::get_d_lapconf_auto (  )  const [inline]

Returns the derivative of the lapse function generated by the star.

Definition at line 356 of file star_bhns.h.

References d_lapconf_auto.

const Vector& Lorene::Star_bhns::get_d_lapconf_comp (  )  const [inline]

Returns the derivative of the lapse function generated by the companion black hole.

Definition at line 361 of file star_bhns.h.

References d_lapconf_comp.

const Vector& Lorene::Star_bhns::get_d_psi (  )  const [inline]

Returns the covariant derivative of the velocity potential (Spherical components with respect to the mapping of the star).

Definition at line 310 of file star_bhns.h.

References d_psi.

const Tensor& Lorene::Star_bhns::get_d_shift_auto (  )  const [inline]

Returns the derivative of the shift vector generated by the star.

Definition at line 375 of file star_bhns.h.

References d_shift_auto.

const Tensor& Lorene::Star_bhns::get_d_shift_comp (  )  const [inline]

Returns the derivative of the shift vector generated by the companion black hole.

Definition at line 380 of file star_bhns.h.

References d_shift_comp.

const Scalar& Lorene::Star::get_ener (  )  const [inline, inherited]

Returns the proper total energy density.

Definition at line 370 of file star.h.

References Lorene::Star::ener.

const Scalar& Lorene::Star::get_ener_euler (  )  const [inline, inherited]

Returns the total energy density with respect to the Eulerian observer.

Definition at line 376 of file star.h.

References Lorene::Star::ener_euler.

const Scalar& Lorene::Star::get_ent (  )  const [inline, inherited]

Returns the enthalpy field.

Definition at line 364 of file star.h.

References Lorene::Star::ent.

const Eos& Lorene::Star::get_eos (  )  const [inline, inherited]

Returns the equation of state.

Definition at line 361 of file star.h.

References Lorene::Star::eos.

const Scalar& Lorene::Star_bhns::get_gam (  )  const [inline]

Returns the Lorentz factor gam.

Definition at line 330 of file star_bhns.h.

References gam.

const Scalar& Lorene::Star_bhns::get_gam0 (  )  const [inline]

Returns the Lorentz factor gam0.

Definition at line 333 of file star_bhns.h.

References gam0.

const Scalar& Lorene::Star::get_gam_euler (  )  const [inline, inherited]

Returns the Lorentz factor between the fluid and Eulerian observers.

Definition at line 382 of file star.h.

References Lorene::Star::gam_euler.

const Metric& Lorene::Star::get_gamma (  )  const [inline, inherited]

Returns the 3-metric $\gamma$.

Definition at line 409 of file star.h.

References Lorene::Star::gamma.

const Scalar& Lorene::Star_bhns::get_lapconf_auto (  )  const [inline]

Returns the part of the lapconf function generated by the star.

Definition at line 339 of file star_bhns.h.

References lapconf_auto.

const Scalar& Lorene::Star_bhns::get_lapconf_comp (  )  const [inline]

Returns the part of the lapconf function generated by the companion black hole.

Definition at line 344 of file star_bhns.h.

References lapconf_comp.

const Scalar& Lorene::Star_bhns::get_lapconf_tot (  )  const [inline]

Returns the total lapconf function.

Definition at line 347 of file star_bhns.h.

References lapconf_tot.

const Scalar& Lorene::Star_bhns::get_lapse_tot (  )  const [inline]

Returns the total lapse function.

Definition at line 353 of file star_bhns.h.

References lapse_tot.

const Scalar& Lorene::Star_bhns::get_loggam (  )  const [inline]

Returns the logarithm of the Lorentz factor between the fluid and the co-orbiting observer.

Definition at line 321 of file star_bhns.h.

References loggam.

const Scalar& Lorene::Star::get_logn (  )  const [inline, inherited]

Returns the logarithm of the lapse N.

In the Newtonian case, this is the Newtonian gravitational potential (in units of $c^2$).

Definition at line 396 of file star.h.

References Lorene::Star::logn.

const Map& Lorene::Star::get_mp (  )  const [inline, inherited]

Returns the mapping.

Definition at line 355 of file star.h.

References Lorene::Star::mp.

const Scalar& Lorene::Star::get_nbar (  )  const [inline, inherited]

Returns the proper baryon density.

Definition at line 367 of file star.h.

References Lorene::Star::nbar.

const Scalar& Lorene::Star::get_nn (  )  const [inline, inherited]

Returns the lapse function N.

Definition at line 399 of file star.h.

References Lorene::Star::nn.

int Lorene::Star::get_nzet (  )  const [inline, inherited]

Returns the number of domains occupied by the star.

Definition at line 358 of file star.h.

References Lorene::Star::nzet.

const Scalar& Lorene::Star_bhns::get_pot_centri (  )  const [inline]

Returns the centrifugal potential.

Definition at line 336 of file star_bhns.h.

References pot_centri.

const Scalar& Lorene::Star::get_press (  )  const [inline, inherited]

Returns the fluid pressure.

Definition at line 373 of file star.h.

References Lorene::Star::press.

const Scalar& Lorene::Star_bhns::get_psi0 (  )  const [inline]

Returns the non-translational part of the velocity potential.

Definition at line 305 of file star_bhns.h.

References psi0.

const Scalar& Lorene::Star_bhns::get_psi4 (  )  const [inline]

Returns the fourth power of the total conformal factor.

Definition at line 404 of file star_bhns.h.

References psi4.

const Scalar& Lorene::Star::get_s_euler (  )  const [inline, inherited]

Returns the trace of the stress tensor in the Eulerian frame.

Definition at line 379 of file star.h.

References Lorene::Star::s_euler.

const Vector& Lorene::Star_bhns::get_shift_auto (  )  const [inline]

Returns the part of the shift vector generated by the star.

Definition at line 364 of file star_bhns.h.

References shift_auto.

const Vector& Lorene::Star_bhns::get_shift_comp (  )  const [inline]

Returns the part of the shift vector generated by the companion black hole.

Definition at line 369 of file star_bhns.h.

References shift_comp.

const Vector& Lorene::Star_bhns::get_shift_tot (  )  const [inline]

Returns the part total shift vector.

Definition at line 372 of file star_bhns.h.

References shift_tot.

const Tensor& Lorene::Star::get_stress_euler (  )  const [inline, inherited]

Returns the spatial part of the stress-energy tensor with respect to the Eulerian observer.

Definition at line 390 of file star.h.

References Lorene::Star::stress_euler.

const Sym_tensor& Lorene::Star_bhns::get_taij_auto (  )  const [inline]

Returns the part of the extrinsic curvature tensor $\tilde A^{ij}$ generated by the neutron star part.

Definition at line 409 of file star_bhns.h.

References taij_auto.

const Scalar& Lorene::Star_bhns::get_taij_quad_auto (  )  const [inline]

Returns the part of the scalar $\eta_{ik} \eta_{jl} A^{ij} A^{kl}$ generated by $A_{ij}^{\rm auto}$.

Definition at line 415 of file star_bhns.h.

References taij_quad_auto.

const Vector& Lorene::Star::get_u_euler (  )  const [inline, inherited]

Returns the fluid 3-velocity with respect to the Eulerian observer.

Definition at line 385 of file star.h.

References Lorene::Star::u_euler.

const Vector& Lorene::Star_bhns::get_wit_w (  )  const [inline]

Returns the spatial projection of the fluid 3-velocity with respect to the co-orbiting observer.

(Spherical components with respect to the mapping of the star)

Definition at line 316 of file star_bhns.h.

References wit_w.

void Lorene::Star::hydro_euler (  )  [virtual, inherited]

Computes the hydrodynamical quantities relative to the Eulerian observer from those in the fluid frame (nbar, ener and press).

Reimplemented in Lorene::Star_bin, Lorene::Star_bin_xcts, Lorene::Star_rot, Lorene::Star_rot_Dirac, and Lorene::Star_rot_Dirac_diff.

Definition at line 580 of file star.C.

void Lorene::Star_bhns::hydro_euler_bhns ( bool  kerrschild,
const double &  mass_bh,
const double &  sepa 
)

Computes the hydrodynamical quantities relative to the Eulerian observer from those in the fluid frame, as well as wit_w and loggam .

The calculation is performed starting from the quantities ent , ener , press , a_car and bsn , which are supposed to be up to date. From these, the following fields are updated: gam_euler , u_euler , ener_euler , s_euler , stress_euler , wit_w and loggam .

Parameters:
kerrschild should be true for a Kerr-Schild background, false for a Conformally flat one
mass_bh BH mass in the background metric
sepa Separation between NS and BH

Definition at line 62 of file star_bhns_hydro.C.

References Lorene::Tensor::annule_domain(), bsn, d_psi, del_deriv(), Lorene::Star::ener, Lorene::Star::ener_euler, Lorene::Star::ent, Lorene::exp(), gam, gam0, Lorene::Star::gam_euler, Lorene::Map::get_bvect_cart(), Lorene::Map::get_mg(), Lorene::Mg3d::get_nzone(), Lorene::Map::get_ori_y(), Lorene::Tensor::get_triad(), irrotational, Lorene::log(), loggam, Lorene::Star::mp, Lorene::Star::press, psi4, Lorene::Star::s_euler, Lorene::Vector::set(), Lorene::Tensor::set(), Lorene::Scalar::set_dzpuis(), Lorene::Tensor::set_etat_qcq(), Lorene::Tensor::set_etat_zero(), Lorene::sqrt(), Lorene::Vector::std_spectral_base(), Lorene::Scalar::std_spectral_base(), Lorene::Star::u_euler, wit_w, Lorene::Map::x, Lorene::Map::y, and Lorene::Map::z.

bool Lorene::Star_bhns::is_irrotational (  )  const [inline]

Returns true for an irrotational motion, false for a corotating one.

Definition at line 302 of file star_bhns.h.

References irrotational.

void Lorene::Star_bhns::kinema_bhns ( bool  kerrschild,
const double &  mass_bh,
const double &  sepa,
double  omega,
double  x_rot,
double  y_rot 
)

Computes the quantities bsn and pot_centri .

The calculation is performed starting from the quantities lapse_tot , shift_tot , which are supposed to be up to date.

Parameters:
kerrschild should be true for a Kerr-Schild background, false for a Conformally flat one
mass_bh BH mass in the background metric
sepa Separation between NS and BH
omega angular velocity with respect to an asymptotically inertial observer
x_rot absolute X coordinate of the rotation axis
y_rot absolute Y coordinate of the rotation axis

Definition at line 64 of file star_bhns_kinema.C.

References Lorene::Tensor::annule_domain(), bsn, confo_tot, del_deriv(), gam0, Lorene::Map::get_bvect_cart(), Lorene::Map::get_mg(), Lorene::Mg3d::get_nzone(), Lorene::Map::get_ori_y(), Lorene::Map::get_rot_phi(), lapconf_tot, Lorene::log(), Lorene::Star::mp, pot_centri, psi4, Lorene::Tensor::set(), Lorene::Vector::set(), shift_tot, Lorene::sqrt(), Lorene::Scalar::std_spectral_base(), Lorene::Vector::std_spectral_base(), Lorene::Map::x, Lorene::Map::xa, Lorene::Map::y, Lorene::Map::ya, and Lorene::Map::z.

const Itbl & Lorene::Star::l_surf (  )  const [virtual, inherited]

Description of the stellar surface: returns a 2-D Itbl containing the values of the domain index l on the surface at the collocation points in $(\theta', \phi')$.

The stellar surface is defined as the location where the enthalpy (member ent) vanishes.

Reimplemented in Lorene::Star_rot.

Definition at line 66 of file star_global.C.

References Lorene::Star::ent, Lorene::Map::get_mg(), Lorene::Mg3d::get_np(), Lorene::Mg3d::get_nt(), Lorene::Scalar::get_spectral_va(), Lorene::Star::mp, Lorene::Star::nzet, Lorene::Star::p_l_surf, and Lorene::Star::p_xi_surf.

double Lorene::Star_bhns::mass_b (  )  const [virtual]
double Lorene::Star_bhns::mass_g (  )  const [virtual]

Gravitational mass.

Implements Lorene::Star.

Definition at line 141 of file star_bhns_global.C.

void Lorene::Star_bhns::operator= ( const Star_bhns star  ) 
ostream & Lorene::Star_bhns::operator>> ( ostream &  ost  )  const [protected, virtual]

Operator >> (virtual function called by the operator <<).

Reimplemented from Lorene::Star.

Definition at line 498 of file star_bhns.C.

References confo_tot, Lorene::Star::ent, lapse_tot, Lorene::Star::ray_eq(), Lorene::Star::ray_eq_pi(), Lorene::Star::ray_eq_pis2(), Lorene::Star::ray_pole(), shift_tot, and Lorene::Scalar::val_grid_point().

double Lorene::Star_bhns::phi_local_min ( double  phi_ini  ) 

Azimuthal angle when the indicator of the mass-shedding takes its local minimum.

Parameters:
phi_ini [input] Initial azumuthal angle to search minimum

Definition at line 148 of file star_bhns_chi.C.

References chi_rp(), and radius_p().

double Lorene::Star_bhns::phi_min (  ) 

Azimuthal angle when the indicator of the mass-shedding takes its minimum chi_min.

Definition at line 86 of file star_bhns_chi.C.

References chi_rp(), Lorene::Map::get_mg(), Lorene::Mg3d::get_np(), Lorene::Star::mp, phi_local_min(), radius_p(), Lorene::Tbl::set(), and Lorene::Tbl::set_etat_qcq().

double Lorene::Star_bhns::radius_p ( double  phi  ) 

Radius of the star to the direction of $\theta=\pi/2$ and $\phi$.

Parameters:
phi [input] Azimuthal angle

Definition at line 77 of file star_bhns_chi.C.

References Lorene::Star::mp, Lorene::Star::nzet, and Lorene::Map::val_r().

double Lorene::Star::ray_eq (  )  const [inherited]
double Lorene::Star::ray_eq_3pis2 (  )  const [inherited]
double Lorene::Star::ray_eq_pi (  )  const [inherited]
double Lorene::Star::ray_eq_pis2 (  )  const [inherited]
double Lorene::Star::ray_pole (  )  const [inherited]
void Lorene::Star_bhns::relax_bhns ( const Star_bhns star_prev,
double  relax_ent,
double  relax_met,
int  mer,
int  fmer_met 
)

Performs a relaxation on ent , lapse_auto , shift_auto , confo_auto .

Parameters:
star_prev [input] star at the previous step
relax_ent [input] Relaxation factor for ent
relax_met [input] Relaxation factor for lapse_auto , shift_auto , confo_auto , only if (merfmer_met=0) .
mer [input] Step number
fmer_met [input] Step interval between metric updates

Definition at line 597 of file star_bhns.C.

References confo_auto, del_deriv(), Lorene::Star::ent, Lorene::Star::equation_of_state(), lapconf_auto, and shift_auto.

void Lorene::Star_bhns::sauve ( FILE *  fich  )  const [virtual]
Scalar & Lorene::Star_bhns::set_confo_auto (  ) 

Read/write of the conformal factor generated by the neutron star.

Definition at line 452 of file star_bhns.C.

References confo_auto, and del_deriv().

Scalar & Lorene::Star_bhns::set_confo_comp (  ) 

Read/write of the conformal factor generated by the companion black hole.

Definition at line 459 of file star_bhns.C.

References confo_comp, and del_deriv().

void Lorene::Star_bhns::set_der_0x0 (  )  const [protected, virtual]

Sets to 0x0 all the pointers on derived quantities.

Reimplemented from Lorene::Star.

Definition at line 355 of file star_bhns.C.

References p_mass_b_bhns, and p_mass_g_bhns.

void Lorene::Star::set_enthalpy ( const Scalar ent_i  )  [inherited]

Assignment of the enthalpy field.

Definition at line 382 of file star.C.

References Lorene::Star::del_deriv(), Lorene::Star::ent, and Lorene::Star::equation_of_state().

Scalar & Lorene::Star_bhns::set_lapconf_auto (  ) 

Read/write of the lapconf function generated by the neutron star.

Definition at line 424 of file star_bhns.C.

References del_deriv(), and lapconf_auto.

Scalar & Lorene::Star_bhns::set_lapconf_comp (  ) 

Read/write of the lapconf function generated by the companion black hole.

Definition at line 431 of file star_bhns.C.

References del_deriv(), and lapconf_comp.

Map& Lorene::Star::set_mp (  )  [inline, inherited]

Read/write of the mapping.

Definition at line 322 of file star.h.

References Lorene::Star::mp.

Scalar & Lorene::Star_bhns::set_pot_centri (  ) 

Read/write the centrifugal potential.

Definition at line 417 of file star_bhns.C.

References del_deriv(), and pot_centri.

Vector & Lorene::Star_bhns::set_shift_auto (  ) 

Read/write of the shift vector generated by the neutron star.

Definition at line 438 of file star_bhns.C.

References del_deriv(), and shift_auto.

Vector & Lorene::Star_bhns::set_shift_comp (  ) 

Read/write of the shift vector generated by the companion black hole.

Definition at line 445 of file star_bhns.C.

References del_deriv(), and shift_comp.

void Lorene::Star_bhns::update_met_der_comp_bhns ( const Hole_bhns hole  ) 
void Lorene::Star_bhns::update_metric_bhns ( const Hole_bhns hole,
const Star_bhns star_prev,
double  relax 
)

Computes metric coefficients from known potentials with relaxation when the companion is a black hole.

The calculation is performed starting from the quantities lapse_auto , shift_auto , confo_auto , comp.lapse_auto , comp.confo_auto which are supposed to be up to date. From these, the following fields are updated: lapse_comp , lapse_tot, confo_comp, confo_tot , psi4 ,

Parameters:
hole companion black hole
star_prev previous value of the star
relax relaxation parameter

Definition at line 63 of file star_bhns_upmetr.C.

References confo_auto, confo_comp, confo_tot, d_confo_auto, d_lapconf_auto, d_shift_auto, del_deriv(), Lorene::Scalar::deriv(), Lorene::Map::get_bvect_cart(), Lorene::Hole_bhns::get_confo_auto(), Lorene::Hole_bhns::get_lapconf_auto(), Lorene::Black_hole::get_mp(), Lorene::Hole_bhns::get_shift_auto(), Lorene::Tensor::get_triad(), Lorene::Scalar::import(), lapconf_auto, lapconf_comp, lapconf_tot, lapse_auto, lapse_tot, Lorene::Star::mp, Lorene::pow(), psi4, Lorene::Tensor::set(), Lorene::Vector::set(), Lorene::Tensor::set_etat_qcq(), Lorene::Scalar::set_etat_qcq(), Lorene::Tensor::set_etat_zero(), Lorene::Scalar::set_etat_zero(), Lorene::Tensor::set_triad(), shift_auto, shift_comp, shift_tot, Lorene::Tensor::std_spectral_base(), Lorene::Vector::std_spectral_base(), and Lorene::Scalar::std_spectral_base().

double Lorene::Star_bhns::velo_pot_bhns ( const double &  mass_bh,
const double &  sepa,
bool  kerrschild,
int  mermax,
double  precis,
double  relax 
)

Computes the non-translational part of the velocity scalar potential $\psi0$ by solving the continuity equation.

Parameters:
mass_bh [input] BH mass in the background metric
sepa [input] Separation between NS and BH
kerrschild should be true for a Kerr-Schild background, false for a Conformally flat one
mermax [input] Maximum number of steps in the iteration
precis [input] Required precision: the iteration will be stopped when the relative difference on $\psi0$ between two successive steps is lower than precis .
relax [input] Relaxation factor.
Returns:
Relative error of the resolution obtained by comparing the operator acting on the solution with the source.

Definition at line 73 of file star_bhns_vel_pot.C.

References Lorene::Param::add_double(), Lorene::Param::add_int(), Lorene::Param::add_int_mod(), Lorene::Tensor::annule(), Lorene::Scalar::annule(), bsn, Lorene::Vector::change_triad(), confo_tot, Lorene::contract(), d_confo_auto, d_confo_comp, d_lapconf_auto, d_lapconf_comp, d_psi, Lorene::Eos::der_nbar_ent(), Lorene::Scalar::deriv(), Lorene::Scalar::derive_con(), Lorene::Scalar::derive_cov(), Lorene::diffrel(), Lorene::Star::ent, Lorene::Star::eos, Lorene::exp(), flat, Lorene::Map::flat_met_spher(), Lorene::Star::gam_euler, Lorene::Map::get_bvect_cart(), Lorene::Map::get_bvect_spher(), Lorene::Scalar::get_etat(), Lorene::Map::get_mg(), Lorene::Mg3d::get_nzone(), Lorene::Tensor::get_triad(), lapconf_tot, Lorene::Scalar::laplacian(), Lorene::log(), Lorene::Star::mp, Lorene::norme(), Lorene::Star::nzet, Lorene::Map::poisson_compact(), psi0, psi4, Lorene::Vector::set(), Lorene::Cmp::set(), Lorene::Scalar::set_domain(), Lorene::Tensor::set_etat_qcq(), Lorene::Scalar::set_spectral_va(), Lorene::Tensor::set_triad(), Lorene::Scalar::std_spectral_base(), Lorene::Cmp::va, Lorene::Valeur::ylm(), and Lorene::Valeur::ylm_i().

const Tbl & Lorene::Star::xi_surf (  )  const [inherited]

Description of the stellar surface: returns a 2-D Tbl containing the values of the radial coordinate $\xi$ on the surface at the collocation points in $(\theta', \phi')$.

The stellar surface is defined as the location where the enthalpy (member ent) vanishes.

Definition at line 92 of file star_global.C.

References Lorene::Star::l_surf(), Lorene::Star::p_l_surf, and Lorene::Star::p_xi_surf.


Friends And Related Function Documentation

ostream& operator<< ( ostream &  ,
const Star  
) [friend, inherited]

Display.


Member Data Documentation

Vector Lorene::Star::beta [protected, inherited]

Shift vector.

Definition at line 228 of file star.h.

3-vector shift, divided by N , of the rotating coordinates, $\beta^i/N$.

(Spherical components with respect to the mapping of the star)

Definition at line 99 of file star_bhns.h.

Conformal factor generated by the star.

Definition at line 157 of file star_bhns.h.

Conformal factor generated by the companion black hole.

Definition at line 160 of file star_bhns.h.

Total conformal factor.

Definition at line 163 of file star_bhns.h.

Derivative of the conformal factor generated by the star $ \partial_j \psi $.

Definition at line 168 of file star_bhns.h.

Derivative of the conformal factor generated by the companion black hole.

Definition at line 173 of file star_bhns.h.

Derivative of the lapconf function generated by the star $ \partial_j \alpha $.

Definition at line 130 of file star_bhns.h.

Derivative of the lapconf function generated by the companion black hole.

Definition at line 135 of file star_bhns.h.

Gradient of $\Psi$ (in the irrotational case) (Spherical components with respect to the mapping of the star).

Definition at line 82 of file star_bhns.h.

Derivative of the shift vector generated by the star $ \eta^{ik} \partial_k \beta^j $.

Definition at line 149 of file star_bhns.h.

Derivative of the shift vector generated by the companion black hole.

Definition at line 154 of file star_bhns.h.

Scalar Lorene::Star::ener [protected, inherited]

Total energy density in the fluid frame.

Definition at line 193 of file star.h.

Scalar Lorene::Star::ener_euler [protected, inherited]

Total energy density in the Eulerian frame.

Definition at line 198 of file star.h.

Scalar Lorene::Star::ent [protected, inherited]

Log-enthalpy.

Definition at line 190 of file star.h.

const Eos& Lorene::Star::eos [protected, inherited]

Equation of state of the stellar matter.

Definition at line 185 of file star.h.

Flat metric defined on the mapping (Spherical components with respect to the mapping of the star ).

Definition at line 192 of file star_bhns.h.

Lorentz factor between the fluid and the co-orbiting observer.

Definition at line 102 of file star_bhns.h.

Lorentz factor between the co-orbiting observer and the Eulerian one.

Definition at line 107 of file star_bhns.h.

Scalar Lorene::Star::gam_euler [protected, inherited]

Lorentz factor between the fluid and Eulerian observers.

Definition at line 204 of file star.h.

Metric Lorene::Star::gamma [protected, inherited]

3-metric

Definition at line 235 of file star.h.

true for an irrotational star, false for a corotating one

Definition at line 72 of file star_bhns.h.

Lapconf function generated by the star.

Definition at line 113 of file star_bhns.h.

Lapconf function generated by the companion black hole.

Definition at line 116 of file star_bhns.h.

Total lapconf function.

Definition at line 119 of file star_bhns.h.

Lapse function generated by the "star".

Definition at line 122 of file star_bhns.h.

Total lapse function.

Definition at line 125 of file star_bhns.h.

Logarithm of the Lorentz factor between the fluid and the co-orbiting observer.

Definition at line 93 of file star_bhns.h.

Scalar Lorene::Star::logn [protected, inherited]

Logarithm of the lapse N .

In the Newtonian case, this is the Newtonian gravitational potential (in units of $c^2$).

Definition at line 222 of file star.h.

Map& Lorene::Star::mp [protected, inherited]

Mapping associated with the star.

Definition at line 180 of file star.h.

Affine mapping for solving poisson's equations of metric quantities.

Definition at line 67 of file star_bhns.h.

Scalar Lorene::Star::nbar [protected, inherited]

Baryon density in the fluid frame.

Definition at line 192 of file star.h.

Scalar Lorene::Star::nn [protected, inherited]

Lapse function N .

Definition at line 225 of file star.h.

int Lorene::Star::nzet [protected, inherited]

Number of domains of *mp occupied by the star.

Definition at line 183 of file star.h.

Itbl* Lorene::Star::p_l_surf [mutable, protected, inherited]

Description of the stellar surface: 2-D Itbl containing the values of the domain index l on the surface at the collocation points in $(\theta', \phi')$.

Definition at line 260 of file star.h.

double* Lorene::Star::p_mass_b [mutable, protected, inherited]

Baryon mass.

Definition at line 268 of file star.h.

double* Lorene::Star_bhns::p_mass_b_bhns [mutable, protected]

Baryon mass.

Definition at line 225 of file star_bhns.h.

double* Lorene::Star::p_mass_g [mutable, protected, inherited]

Gravitational mass.

Definition at line 269 of file star.h.

double* Lorene::Star_bhns::p_mass_g_bhns [mutable, protected]

Gravitational mass.

Definition at line 226 of file star_bhns.h.

double* Lorene::Star::p_ray_eq [mutable, protected, inherited]

Coordinate radius at $\phi=0$, $\theta=\pi/2$.

Definition at line 242 of file star.h.

double* Lorene::Star::p_ray_eq_3pis2 [mutable, protected, inherited]

Coordinate radius at $\phi=3\pi/2$, $\theta=\pi/2$.

Definition at line 251 of file star.h.

double* Lorene::Star::p_ray_eq_pi [mutable, protected, inherited]

Coordinate radius at $\phi=\pi$, $\theta=\pi/2$.

Definition at line 248 of file star.h.

double* Lorene::Star::p_ray_eq_pis2 [mutable, protected, inherited]

Coordinate radius at $\phi=\pi/2$, $\theta=\pi/2$.

Definition at line 245 of file star.h.

double* Lorene::Star::p_ray_pole [mutable, protected, inherited]

Coordinate radius at $\theta=0$.

Definition at line 254 of file star.h.

Tbl* Lorene::Star::p_xi_surf [mutable, protected, inherited]

Description of the stellar surface: 2-D Tbl containing the values of the radial coordinate $\xi$ on the surface at the collocation points in $(\theta', \phi')$.

Definition at line 266 of file star.h.

Centrifugal potential.

Definition at line 110 of file star_bhns.h.

Scalar Lorene::Star::press [protected, inherited]

Fluid pressure.

Definition at line 194 of file star.h.

Scalar potential $\Psi_0$ of the non-translational part of fluid 4-velocity (in the irrotational case).

Definition at line 77 of file star_bhns.h.

Fourth power of the total conformal factor.

Definition at line 176 of file star_bhns.h.

Scalar Lorene::Star::s_euler [protected, inherited]

Trace of the stress scalar in the Eulerian frame.

Definition at line 201 of file star.h.

Shift vector generated by the star.

Definition at line 138 of file star_bhns.h.

Shift vector generated by the companion black hole.

Definition at line 141 of file star_bhns.h.

Total shift vector.

Definition at line 144 of file star_bhns.h.

Effective source at the previous step for the resolution of the Poisson equation for confo_auto .

Definition at line 202 of file star_bhns.h.

Effective source at the previous step for the resolution of the Poisson equation for the scalar $\chi$ by means of Map_et::poisson .

$\chi$ is an intermediate quantity for the resolution of the elliptic equation for the shift vector $N^i$

Definition at line 210 of file star_bhns.h.

Effective source at the previous step for the resolution of the Poisson equation for lapconf_auto .

Definition at line 197 of file star_bhns.h.

Effective source at the previous step for the resolution of the vector Poisson equation for $W^i$ by means of Map_et::poisson .

$W^i$ is an intermediate quantity for the resolution of the elliptic equation for the shift vector $N^i$ (Components with respect to the Cartesian triad associated with the mapping mp )

Definition at line 220 of file star_bhns.h.

Sym_tensor Lorene::Star::stress_euler [protected, inherited]

Spatial part of the stress-energy tensor with respect to the Eulerian observer.

Definition at line 212 of file star.h.

Part of the extrinsic curvature tensor $ A^{ij}$ generated by shift_auto , lapse_auto , and confo_auto .

Definition at line 182 of file star_bhns.h.

Part of the scalar $\eta_{ik} \eta_{jl} A^{ij} A^{kl}$ generated by $A_{ij}^{\rm auto}$.

Definition at line 187 of file star_bhns.h.

Vector Lorene::Star::u_euler [protected, inherited]

Fluid 3-velocity with respect to the Eulerian observer.

Definition at line 207 of file star.h.

Spatial projection of the fluid 3-velocity with respect to the co-orbiting observer.

(Spherical components with respect to the mapping of the star)

Definition at line 88 of file star_bhns.h.


The documentation for this class was generated from the following files:

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