# Lorene::Star_bin Class Reference [Stars and black holes]

Class for stars in binary system. More...

#include <star.h>

Inheritance diagram for Lorene::Star_bin:

List of all members.

## Public Member Functions

Star_bin (Map &mp_i, int nzet_i, const Eos &eos_i, bool irrot, bool conf_flat)
Standard constructor.
Star_bin (const Star_bin &)
Copy constructor.
Star_bin (Map &mp_i, const Eos &eos_i, FILE *fich)
Constructor from a file (see sauve(FILE* )).
virtual ~Star_bin ()
Destructor.
void operator= (const Star_bin &)
Assignment to another Star_bin.
Scalarset_pot_centri ()
Scalarset_logn_comp ()
Read/write of the logarithm of the lapse generated principally by the companion.
void set_logn_auto (const Scalar &logn_auto_new)
Assignment of a new logn_auto.
void set_lnq_auto (const Scalar &lnq_auto_new)
Assignment of a new lnq_auto.
Vectorset_beta_auto ()
Vectorset_beta ()
void set_conf_flat (bool confflat)
Write if conformally flat.
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, .
const Scalarget_pot_centri () const
Returns the centrifugal potential.
const Scalarget_logn_auto () const
Returns the part of the lapse logarithm (gravitational potential at the Newtonian limit) generated principally by the star.
const Scalarget_logn_comp () const
Returns the part of the lapse logarithm (gravitational potential at the Newtonian limit) generated principally by the companion star.
const Vectorget_beta_auto () const
Returns the part of the shift vector generated principally by the star.
const Vectorget_beta_comp () const
Returns the part of the shift vector generated principally by the star.
const Scalarget_lnq_auto () const
Returns the part of the vector field generated principally by the star.
const Scalarget_lnq_comp () const
Returns the part of the vector field generated principally by the companion star.
const Vectorget_dcov_logn () const
Returns the covariant derivative of .
const Vectorget_dcon_logn () const
Returns the contravariant derivative of .
const Vectorget_dcov_phi () const
Returns the covariant derivative of (logarithm of the conformal factor).
const Vectorget_dcon_phi () const
Returns the contravariant derivative of (logarithm of the conformal factor).
const Scalarget_psi4 () const
Return the conformal factor .
const Metricget_flat () const
Return the flat metric defined on the mapping (Spherical components with respect to the mapping of the star).
const Metricget_gtilde () const
Return the conformal 3-metric .
const Sym_tensorget_hij () const
Return the total deviation of the inverse conformal metric from the inverse flat metric.
const Sym_tensorget_hij_auto () const
Return the deviation of the inverse conformal metric from the inverse flat metric principally generated by the star.
const Sym_tensorget_hij_comp () const
Return the deviation of the inverse conformal metric from the inverse flat metric generated principally by the companion star.
const Sym_tensorget_tkij_auto () const
Returns the part of the extrinsic curvature tensor generated by beta_auto.
const Sym_tensorget_tkij_comp () const
Returns the part of the extrinsic curvature tensor generated by beta_comp.
const Scalarget_kcar_auto () const
Returns the part of generated by beta_auto.
const Scalarget_kcar_comp () const
Returns the part of generated by beta_comp.
const Scalar get_decouple () const
Returns the function used to construct beta_auto from beta.
bool is_conf_flat () const
virtual void sauve (FILE *) const
Save in a file.
virtual double mass_b () const
Baryon mass.
virtual double mass_g () const
Gravitational mass.
virtual double xa_barycenter () const
Absolute coordinate X of the barycenter of the baryon density,.
virtual void hydro_euler ()
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 (const Star_bin &comp, double omega)
Computes metric coefficients from known potentials, when the companion is another star.
void update_metric (const Star_bin &comp, const Star_bin &star_prev, double relax, double omega)
Same as update_metric(const Star_bin& ) but with relaxation.
void update_metric_der_comp (const Star_bin &comp, double omega)
Computes the derivative of metric functions related to the companion star.
void kinematics (double omega, double x_axe)
Computes the quantities bsn and pot_centri.
void fait_d_psi ()
Computes the gradient of the total velocity potential .
void extrinsic_curvature (double omega)
Computes tkij_auto and akcar_auto from beta_auto, nn and Q.
void equilibrium (double ent_c, int mermax, int mermax_potvit, int mermax_poisson, double relax_poisson, double relax_potvit, double thres_adapt, Tbl &diff, double om)
Computes an equilibrium configuration.
double velocity_potential (int mermax, double precis, double relax)
Computes the non-translational part of the velocity scalar potential by solving the continuity equation.
void relaxation (const Star_bin &star_prev, double relax_ent, double relax_met, int mer, int fmer_met)
Performs a relaxation on ent, logn_auto, lnq_auto, beta_auto and hij_auto.
void test_K_Hi () const
Test if the gauge conditions we impose are well satisfied.
void helical (double omega) const
Test of the helical symmetry.
Mapset_mp ()
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 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 .
const Scalarget_lnq () const
const Metricget_gamma () const
Returns the 3-metric .
double ray_eq () const
double ray_eq_pis2 () const
double ray_eq_pi () const
double ray_eq_3pis2 () const
double ray_pole () const
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 .
const Tblxi_surf () const
Description of the stellar surface: returns a 2-D Tbl containing the values of the radial coordinate on the surface at the collocation points in .

## Protected Member Functions

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

## Protected Attributes

bool irrotational
true for an irrotational star, false for a corotating one
Scalar psi0
Scalar potential of the non-translational part of fluid 4-velocity (in the irrotational case).
Vector d_psi
Gradient of (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, .
Scalar pot_centri
Centrifugal potential.
Scalar logn_auto
Part of the lapse logarithm (gravitational potential at the Newtonian limit) generated principally by the star.
Scalar logn_comp
Part of the lapse logarithm (gravitational potential at the Newtonian limit) generated principally by the companion star.
Vector dcov_logn
Covariant derivative of the total logarithm of the lapse.
Vector dcon_logn
Contravariant derivative of the total logarithm of the lapse.
Scalar lnq_auto
Scalar field generated principally by the star.
Scalar lnq_comp
Scalar field generated principally by the companion star.
Scalar psi4
Conformal factor .
Vector dcov_phi
Covariant derivative of the logarithm of the conformal factor.
Vector dcon_phi
Contravariant derivative of the logarithm of the conformal factor.
Metric_flat flat
Flat metric defined on the mapping (Spherical components with respect to the mapping of the star) .
Metric gtilde
Conformal metric .
Vector beta_auto
Part of the shift vector generated principally by the star (Spherical components with respect to the mapping of the star).
Vector beta_comp
Part of the shift vector generated principally by the star (Spherical components with respect to the mapping of the star).
Sym_tensor hij
Total deviation of the inverse conformal metric from the inverse flat metric.
Sym_tensor hij_auto
Deviation of the inverse conformal metric from the inverse flat metric generated principally by the star.
Sym_tensor hij_comp
Deviation of the inverse conformal metric from the inverse flat metric generated principally by the companion star.
Sym_tensor tkij_auto
Part of the extrinsic curvature tensor generated by beta_auto.
Sym_tensor tkij_comp
Part of the extrinsic curvature tensor generated by beta_comp.
Scalar kcar_auto
Part of the scalar generated by beta_auto, i.e.
Scalar kcar_comp
Part of the scalar generated by beta_auto and beta_comp, i.e.
Scalar ssjm1_logn
Effective source at the previous step for the resolution of the Poisson equation for logn_auto.
Scalar ssjm1_lnq
Effective source at the previous step for the resolution of the Poisson equation for lnq_auto.
Scalar ssjm1_khi
Effective source at the previous step for the resolution of the Poisson equation for khi.
Vector ssjm1_wbeta
Scalar ssjm1_h11
Effective source at the previous step for the resolution of the Poisson equation for h00_auto.
Scalar ssjm1_h21
Effective source at the previous step for the resolution of the Poisson equation for h10_auto.
Scalar ssjm1_h31
Effective source at the previous step for the resolution of the Poisson equation for h20_auto.
Scalar ssjm1_h22
Effective source at the previous step for the resolution of the Poisson equation for h11_auto.
Scalar ssjm1_h32
Effective source at the previous step for the resolution of the Poisson equation for h21_auto.
Scalar ssjm1_h33
Effective source at the previous step for the resolution of the Poisson equation for h22_auto.
Scalar decouple
Function used to construct the part generated by the star from the total .
bool conf_flat
true if the 3-metric is conformally flat, false for a more general metric.
double * p_xa_barycenter
Absolute coordinate X of the barycenter of the baryon density.
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
double * p_ray_eq_pis2
double * p_ray_eq_pi
double * p_ray_eq_3pis2
double * p_ray_pole
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 .
Tblp_xi_surf
Description of the stellar surface: 2-D Tbl containing the values of the radial coordinate on the surface at the collocation points in .
double * p_mass_b
Baryon mass.
double * p_mass_g
Gravitational mass.

## Friends

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

## Detailed Description

Class for stars in binary system.

*** UNDER DEEVELOPMENT *** ()

A Star_bin can be construted in two states, represented by the bool member irrotational: (i) irrotational (i.e. the fluid motion is irrotational) or (ii) rigidly corotating with respect to the orbital motion (synchronized binary).

Version:
$Id: star.h,v 1.32 2014/10/13 08:52:36 j_novak Exp$#

Definition at line 483 of file star.h.

## Constructor & Destructor Documentation

 Lorene::Star_bin::Star_bin ( Map & mp_i, int nzet_i, const Eos & eos_i, bool irrot, bool conf_flat )

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 should be true for an irrotational star, false for a corotating one conf_flat should be true for a conformally flat metric false for a general one

Definition at line 118 of file star_bin.C.

 Lorene::Star_bin::Star_bin ( const Star_bin & star )

Copy constructor.

Definition at line 213 of file star_bin.C.

References set_der_0x0().

 Lorene::Star_bin::Star_bin ( 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 261 of file star_bin.C.

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

Destructor.

Definition at line 362 of file star_bin.C.

References del_deriv().

## Member Function Documentation

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

Deletes all the derived quantities.

Reimplemented from Lorene::Star.

Definition at line 372 of file star_bin.C.

References p_xa_barycenter, and set_der_0x0().

 void Lorene::Star_bin::del_hydro_euler ( )  [protected, virtual]

Sets to ETATNONDEF (undefined state) the hydrodynamical quantities relative to the Eulerian observer.

Reimplemented from Lorene::Star.

Definition at line 392 of file star_bin.C.

References del_deriv().

 void Lorene::Star::equation_of_state ( )  [inherited]

Computes the proper baryon and energy density, as well as pressure from the enthalpy.

Reimplemented in Lorene::Gravastar.

Definition at line 465 of file star.C.

 void Lorene::Star_bin::equilibrium ( double ent_c, int mermax, int mermax_potvit, int mermax_poisson, double relax_poisson, double relax_potvit, double thres_adapt, Tbl & diff, double om )

Computes an equilibrium configuration.

Parameters:
 ent_c [input] Central enthalpy mermax [input] Maximum number of steps mermax_poisson [input] Maximum number of steps in poisson scalar relax_poisson [input] Relaxation factor in poisson scalar mermax_potvit [input] Maximum number of steps in Map_radial::poisson_compact relax_potvit [input] Relaxation factor in Map_radial::poisson_compact thres_adapt [input] Threshold on dH/dr for the adaptation of the mapping diff [output] 1-D Tbl for the storage of some error indicators

Definition at line 146 of file star_bin_equilibrium.C.

 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.

 void Lorene::Star_bin::extrinsic_curvature ( double omega )

Computes tkij_auto and akcar_auto from beta_auto, nn and Q.

Parameters:
 omega angular velocity with respect to an asymptotically inertial observer

Definition at line 78 of file star_bin_extr_curv.C.

 void Lorene::Star_bin::fait_d_psi ( )

Computes the gradient of the total velocity potential .

Definition at line 648 of file star_bin.C.

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

Returns the shift vector .

Definition at line 402 of file star.h.

References Lorene::Star::beta.

 const Vector& Lorene::Star_bin::get_beta_auto ( ) const [inline]

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

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

Definition at line 817 of file star.h.

References beta_auto.

 const Vector& Lorene::Star_bin::get_beta_comp ( ) const [inline]

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

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

Definition at line 823 of file star.h.

References beta_comp.

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

Returns the shift vector, divided by N, of the rotating coordinates, .

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

Definition at line 798 of file star.h.

References bsn.

 const Vector& Lorene::Star_bin::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 781 of file star.h.

References d_psi.

 const Vector& Lorene::Star_bin::get_dcon_logn ( ) const [inline]

Returns the contravariant derivative of .

Definition at line 841 of file star.h.

References dcon_logn.

 const Vector& Lorene::Star_bin::get_dcon_phi ( ) const [inline]

Returns the contravariant derivative of (logarithm of the conformal factor).

Definition at line 851 of file star.h.

References dcon_phi.

 const Vector& Lorene::Star_bin::get_dcov_logn ( ) const [inline]

Returns the covariant derivative of .

Definition at line 837 of file star.h.

References dcov_logn.

 const Vector& Lorene::Star_bin::get_dcov_phi ( ) const [inline]

Returns the covariant derivative of (logarithm of the conformal factor).

Definition at line 846 of file star.h.

References dcov_phi.

 const Scalar Lorene::Star_bin::get_decouple ( ) const [inline]

Returns the function used to construct beta_auto from beta.

Definition at line 908 of file star.h.

References decouple.

 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 Metric& Lorene::Star_bin::get_flat ( ) const [inline]

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

Definition at line 859 of file star.h.

References flat.

 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 .

Definition at line 409 of file star.h.

References Lorene::Star::gamma.

 const Metric& Lorene::Star_bin::get_gtilde ( ) const [inline]

Return the conformal 3-metric .

Definition at line 862 of file star.h.

References gtilde.

 const Sym_tensor& Lorene::Star_bin::get_hij ( ) const [inline]

Return the total deviation of the inverse conformal metric from the inverse flat metric.

Definition at line 867 of file star.h.

References hij.

 const Sym_tensor& Lorene::Star_bin::get_hij_auto ( ) const [inline]

Return the deviation of the inverse conformal metric from the inverse flat metric principally generated by the star.

Definition at line 873 of file star.h.

References hij_auto.

 const Sym_tensor& Lorene::Star_bin::get_hij_comp ( ) const [inline]

Return the deviation of the inverse conformal metric from the inverse flat metric generated principally by the companion star.

Definition at line 879 of file star.h.

References hij_comp.

 const Scalar& Lorene::Star_bin::get_kcar_auto ( ) const [inline]

Returns the part of generated by beta_auto.

Definition at line 897 of file star.h.

References kcar_auto.

 const Scalar& Lorene::Star_bin::get_kcar_comp ( ) const [inline]

Returns the part of generated by beta_comp.

Definition at line 902 of file star.h.

References kcar_comp.

 const Scalar& Lorene::Star_bin::get_lnq_auto ( ) const [inline]

Returns the part of the vector field generated principally by the star.

Definition at line 828 of file star.h.

References lnq_auto.

 const Scalar& Lorene::Star_bin::get_lnq_comp ( ) const [inline]

Returns the part of the vector field generated principally by the companion star.

Definition at line 833 of file star.h.

References lnq_comp.

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

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

Definition at line 792 of file star.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 ).

Definition at line 396 of file star.h.

References Lorene::Star::logn.

 const Scalar& Lorene::Star_bin::get_logn_auto ( ) const [inline]

Returns the part of the lapse logarithm (gravitational potential at the Newtonian limit) generated principally by the star.

Definition at line 806 of file star.h.

References logn_auto.

 const Scalar& Lorene::Star_bin::get_logn_comp ( ) const [inline]

Returns the part of the lapse logarithm (gravitational potential at the Newtonian limit) generated principally by the companion star.

Definition at line 811 of file star.h.

References logn_comp.

 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_bin::get_pot_centri ( ) const [inline]

Returns the centrifugal potential.

Definition at line 801 of file star.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_bin::get_psi0 ( ) const [inline]

Returns the non-translational part of the velocity potential.

Definition at line 776 of file star.h.

References psi0.

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

Return the conformal factor .

Definition at line 854 of file star.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 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_bin::get_tkij_auto ( ) const [inline]

Returns the part of the extrinsic curvature tensor generated by beta_auto.

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

Definition at line 886 of file star.h.

References tkij_auto.

 const Sym_tensor& Lorene::Star_bin::get_tkij_comp ( ) const [inline]

Returns the part of the extrinsic curvature tensor generated by beta_comp.

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

Definition at line 892 of file star.h.

References tkij_comp.

 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_bin::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 787 of file star.h.

References wit_w.

 void Lorene::Star_bin::helical ( double omega ) const

Test of the helical symmetry.

 void Lorene::Star_bin::hydro_euler ( )  [virtual]

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 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.

Reimplemented from Lorene::Star.

Definition at line 69 of file star_bin_hydro.C.

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

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

Definition at line 773 of file star.h.

References irrotational.

 void Lorene::Star_bin::kinematics ( double omega, double x_axe )

Computes the quantities bsn and pot_centri.

The calculation is performed starting from the quantities nn, beta, Q, which are supposed to be up to date.

Parameters:
 omega angular velocity with respect to an asymptotically inertial observer x_axe absolute X coordinate of the rotation axis

Definition at line 78 of file star_bin_kinema.C.

 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 .

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.

 double Lorene::Star_bin::mass_b ( ) const [virtual]

Baryon mass.

Implements Lorene::Star.

Definition at line 70 of file star_bin_global.C.

 double Lorene::Star_bin::mass_g ( ) const [virtual]

Gravitational mass.

Implements Lorene::Star.

Definition at line 96 of file star_bin_global.C.

 void Lorene::Star_bin::operator= ( const Star_bin & star )

Assignment to another Star_bin.

Reimplemented from Lorene::Star.

Definition at line 407 of file star_bin.C.

 ostream & Lorene::Star_bin::operator>> ( ostream & ost ) const [protected, virtual]

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

Reimplemented from Lorene::Star.

Definition at line 525 of file star_bin.C.

 double Lorene::Star::ray_eq ( ) const [inherited]

Definition at line 111 of file star_global.C.

 double Lorene::Star::ray_eq_3pis2 ( ) const [inherited]

Definition at line 236 of file star_global.C.

 double Lorene::Star::ray_eq_pi ( ) const [inherited]

Definition at line 189 of file star_global.C.

 double Lorene::Star::ray_eq_pis2 ( ) const [inherited]

Definition at line 141 of file star_global.C.

 double Lorene::Star::ray_pole ( ) const [inherited]

Definition at line 281 of file star_global.C.

 void Lorene::Star_bin::relaxation ( const Star_bin & star_prev, double relax_ent, double relax_met, int mer, int fmer_met )

Performs a relaxation on ent, logn_auto, lnq_auto, beta_auto and hij_auto.

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

Definition at line 704 of file star_bin.C.

 void Lorene::Star_bin::sauve ( FILE * fich ) const [virtual]

Save in a file.

Reimplemented from Lorene::Star.

Definition at line 492 of file star_bin.C.

 Vector & Lorene::Star_bin::set_beta ( )

Definition at line 478 of file star_bin.C.

References Lorene::Star::beta, and del_deriv().

 Vector & Lorene::Star_bin::set_beta_auto ( )

Definition at line 471 of file star_bin.C.

References beta_auto, and del_deriv().

 void Lorene::Star_bin::set_conf_flat ( bool confflat )  [inline]

Write if conformally flat.

Definition at line 765 of file star.h.

References conf_flat.

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

Sets to 0x0 all the pointers on derived quantities.

Reimplemented from Lorene::Star.

Definition at line 384 of file star_bin.C.

References p_xa_barycenter.

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

Assignment of the enthalpy field.

Definition at line 382 of file star.C.

 void Lorene::Star_bin::set_lnq_auto ( const Scalar & lnq_auto_new )  [inline]

Assignment of a new lnq_auto.

Definition at line 755 of file star.h.

References lnq_auto.

 void Lorene::Star_bin::set_logn_auto ( const Scalar & logn_auto_new )  [inline]

Assignment of a new logn_auto.

Definition at line 751 of file star.h.

References logn_auto.

 Scalar & Lorene::Star_bin::set_logn_comp ( )

Read/write of the logarithm of the lapse generated principally by the companion.

Definition at line 464 of file star_bin.C.

References del_deriv(), and logn_comp.

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

Definition at line 322 of file star.h.

References Lorene::Star::mp.

 Scalar & Lorene::Star_bin::set_pot_centri ( )

Definition at line 457 of file star_bin.C.

References del_deriv(), and pot_centri.

 void Lorene::Star_bin::test_K_Hi ( ) const

Test if the gauge conditions we impose are well satisfied.

Definition at line 730 of file star_bin.C.

 void Lorene::Star_bin::update_metric ( const Star_bin & comp, const Star_bin & star_prev, double relax, double omega )

Same as update_metric(const Star_bin& ) but with relaxation.

Parameters:
 comp companion star. star_prev previous value of the star. relax relaxation parameter. omega angular velocity with respect to an asymptotically inertial observer

Definition at line 279 of file star_bin_upmetr.C.

 void Lorene::Star_bin::update_metric ( const Star_bin & comp, double omega )

Computes metric coefficients from known potentials, when the companion is another star.

The calculation is performed starting from the quantities logn_auto, lnq_auto, beta_auto, hij_auto, comp.logn_auto, comp.lnq_auto, comp.beta_auto, comp.hij_auto which are supposed to be up to date. From these, the following fields are updated: logn_comp, lnq_comp, beta_comp, hij_comp, nn, psi4, beta,

Parameters:
 comp companion star. omega angular velocity with respect to an asymptotically inertial observer

Definition at line 96 of file star_bin_upmetr.C.

 void Lorene::Star_bin::update_metric_der_comp ( const Star_bin & comp, double omega )

Computes the derivative of metric functions related to the companion star.

Parameters:
 omega angular velocity with respect to an asymptotically inertial observer

Definition at line 104 of file star_bin_upmetr_der.C.

 double Lorene::Star_bin::velocity_potential ( int mermax, double precis, double relax )

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

Parameters:
 mermax [input] Maximum number of steps in the iteration precis [input] Required precision: the iteration will be stopped when the relative difference on 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 79 of file star_bin_vel_pot.C.

 double Lorene::Star_bin::xa_barycenter ( ) const [virtual]

Absolute coordinate X of the barycenter of the baryon density,.

Definition at line 121 of file star_bin_global.C.

 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 on the surface at the collocation points in .

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.

 Vector Lorene::Star_bin::beta_auto [protected]

Part of the shift vector generated principally by the star (Spherical components with respect to the mapping of the star).

Definition at line 570 of file star.h.

 Vector Lorene::Star_bin::beta_comp [protected]

Part of the shift vector generated principally by the star (Spherical components with respect to the mapping of the star).

Definition at line 575 of file star.h.

 Vector Lorene::Star_bin::bsn [protected]

3-vector shift, divided by N, of the rotating coordinates, .

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

Definition at line 518 of file star.h.

 bool Lorene::Star_bin::conf_flat [protected]

true if the 3-metric is conformally flat, false for a more general metric.

Definition at line 681 of file star.h.

 Vector Lorene::Star_bin::d_psi [protected]

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

Definition at line 501 of file star.h.

 Vector Lorene::Star_bin::dcon_logn [protected]

Contravariant derivative of the total logarithm of the lapse.

Definition at line 538 of file star.h.

 Vector Lorene::Star_bin::dcon_phi [protected]

Contravariant derivative of the logarithm of the conformal factor.

Definition at line 557 of file star.h.

 Vector Lorene::Star_bin::dcov_logn [protected]

Covariant derivative of the total logarithm of the lapse.

Definition at line 535 of file star.h.

 Vector Lorene::Star_bin::dcov_phi [protected]

Covariant derivative of the logarithm of the conformal factor.

Definition at line 555 of file star.h.

 Scalar Lorene::Star_bin::decouple [protected]

Function used to construct the part generated by the star from the total .

Mainly this Scalar is 1 around the star and 0 around the companion and the sum of decouple for the star and his companion is 1 everywhere.

Definition at line 676 of file star.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.

 Metric_flat Lorene::Star_bin::flat [protected]

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

Definition at line 562 of file star.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.

 Metric Lorene::Star_bin::gtilde [protected]

Conformal metric .

Definition at line 565 of file star.h.

 Sym_tensor Lorene::Star_bin::hij [protected]

Total deviation of the inverse conformal metric from the inverse flat metric.

Definition at line 581 of file star.h.

 Sym_tensor Lorene::Star_bin::hij_auto [protected]

Deviation of the inverse conformal metric from the inverse flat metric generated principally by the star.

Definition at line 588 of file star.h.

 Sym_tensor Lorene::Star_bin::hij_comp [protected]

Deviation of the inverse conformal metric from the inverse flat metric generated principally by the companion star.

Definition at line 594 of file star.h.

 bool Lorene::Star_bin::irrotational [protected]

true for an irrotational star, false for a corotating one

Definition at line 491 of file star.h.

 Scalar Lorene::Star_bin::kcar_auto [protected]

Part of the scalar generated by beta_auto, i.e.

Definition at line 612 of file star.h.

 Scalar Lorene::Star_bin::kcar_comp [protected]

Part of the scalar generated by beta_auto and beta_comp, i.e.

Definition at line 618 of file star.h.

 Scalar Lorene::Star_bin::lnq_auto [protected]

Scalar field generated principally by the star.

Definition at line 543 of file star.h.

 Scalar Lorene::Star_bin::lnq_comp [protected]

Scalar field generated principally by the companion star.

Definition at line 548 of file star.h.

 Scalar Lorene::Star_bin::loggam [protected]

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

Definition at line 512 of file star.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 ).

Definition at line 222 of file star.h.

 Scalar Lorene::Star_bin::logn_auto [protected]

Part of the lapse logarithm (gravitational potential at the Newtonian limit) generated principally by the star.

Definition at line 527 of file star.h.

 Scalar Lorene::Star_bin::logn_comp [protected]

Part of the lapse logarithm (gravitational potential at the Newtonian limit) generated principally by the companion star.

Definition at line 532 of file star.h.

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

Mapping associated with the star.

Definition at line 180 of file star.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 .

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::p_mass_g [mutable, protected, inherited]

Gravitational mass.

Definition at line 269 of file star.h.

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

Definition at line 242 of file star.h.

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

Definition at line 251 of file star.h.

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

Definition at line 248 of file star.h.

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

Definition at line 245 of file star.h.

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

Definition at line 254 of file star.h.

 double* Lorene::Star_bin::p_xa_barycenter [mutable, protected]

Absolute coordinate X of the barycenter of the baryon density.

Definition at line 687 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 on the surface at the collocation points in .

Definition at line 266 of file star.h.

 Scalar Lorene::Star_bin::pot_centri [protected]

Centrifugal potential.

Definition at line 521 of file star.h.

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

Fluid pressure.

Definition at line 194 of file star.h.

 Scalar Lorene::Star_bin::psi0 [protected]

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

Definition at line 496 of file star.h.

 Scalar Lorene::Star_bin::psi4 [protected]

Conformal factor .

Definition at line 552 of file star.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.

 Scalar Lorene::Star_bin::ssjm1_h11 [protected]

Effective source at the previous step for the resolution of the Poisson equation for h00_auto.

Definition at line 641 of file star.h.

 Scalar Lorene::Star_bin::ssjm1_h21 [protected]

Effective source at the previous step for the resolution of the Poisson equation for h10_auto.

Definition at line 646 of file star.h.

 Scalar Lorene::Star_bin::ssjm1_h22 [protected]

Effective source at the previous step for the resolution of the Poisson equation for h11_auto.

Definition at line 656 of file star.h.

 Scalar Lorene::Star_bin::ssjm1_h31 [protected]

Effective source at the previous step for the resolution of the Poisson equation for h20_auto.

Definition at line 651 of file star.h.

 Scalar Lorene::Star_bin::ssjm1_h32 [protected]

Effective source at the previous step for the resolution of the Poisson equation for h21_auto.

Definition at line 661 of file star.h.

 Scalar Lorene::Star_bin::ssjm1_h33 [protected]

Effective source at the previous step for the resolution of the Poisson equation for h22_auto.

Definition at line 666 of file star.h.

 Scalar Lorene::Star_bin::ssjm1_khi [protected]

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

(second scalar equation for the resolution of the vectorial poisson equation for the shift)

Definition at line 634 of file star.h.

 Scalar Lorene::Star_bin::ssjm1_lnq [protected]

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

Definition at line 628 of file star.h.

 Scalar Lorene::Star_bin::ssjm1_logn [protected]

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

Definition at line 623 of file star.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.

 Sym_tensor Lorene::Star_bin::tkij_auto [protected]

Part of the extrinsic curvature tensor generated by beta_auto.

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

Definition at line 600 of file star.h.

 Sym_tensor Lorene::Star_bin::tkij_comp [protected]

Part of the extrinsic curvature tensor generated by beta_comp.

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

Definition at line 606 of file star.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.

 Vector Lorene::Star_bin::wit_w [protected]

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 507 of file star.h.

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

Generated on 7 Dec 2019 for LORENE by  1.6.1