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

Binary black holes system. More...

#include <isol_hor.h>

List of all members.

Public Member Functions

 Single_hor (Map_af &mpi)
 Standard constructor.
 Single_hor (const Single_hor &)
 Copy constructor.
 Single_hor (Map_af &mp, FILE *fich)
 Constructor from a binary file.
virtual ~Single_hor ()
 Destructor.
void operator= (const Single_hor &)
 Assignment to another Single_hor.
const Map_afget_mp () const
 Returns the mapping (readonly).
Map_afset_mp ()
 Read/write of the mapping.
double get_radius () const
 Returns the radius of the horizon.
void set_radius (double rad)
 Sets the radius of the horizon to rad .
double get_omega () const
 Returns the angular velocity.
void set_omega (double ome)
 Sets the angular velocity to ome .
const Scalarget_n_auto () const
 Lapse function $ N_{auto} $.
const Scalarget_n_comp () const
 Lapse function $ N_{comp} $.
const Scalarget_nn () const
 Lapse function $ N$.
const Scalarget_psi_auto () const
 Conformal factor $ \Psi_{auto} $.
const Scalarget_psi_comp () const
 Conformal factor $ \Psi_{comp} $.
const Scalarget_psi () const
 Conformal factor $ \Psi $.
const Scalarget_psi4 () const
 Conformal factor $ \Psi^4 $.
const Vectorget_dn () const
 Covariant derivative of the lapse function $ \overline\nabla_i N $.
const Vectorget_dpsi () const
 Covariant derivative with respect to the flat metric of the conformal factor $ \overline\nabla_i \Psi $.
const Vectorget_beta_auto () const
 Shift function $ \beta^i_{auto} $.
const Vectorget_beta_comp () const
 Shift function $ \beta^i_{comp} $.
const Vectorget_beta () const
 Shift function $ \beta^i $.
const Sym_tensorget_aa_auto () const
 Conformal representation $ A^{ij}_{auto} $ of the traceless part of the extrinsic curvature:.
const Sym_tensorget_aa_comp () const
 Conformal representation $ A^{ij}_{comp} $ of the traceless part of the extrinsic curvature:.
const Sym_tensorget_aa () const
 Conformal representation $ A^{ij} $ of the traceless part of the extrinsic curvature:.
const Metricget_tgam () const
 Conformal metric $ \tilde\gamma_{ij} = \Psi^{-4} \gamma_{ij} $.
const Metricget_gam () const
 metric $ \gamma_{ij} $
const Sym_tensorget_k_dd () const
 k_dd
const Scalar get_decouple () const
 Returns the function used to construct tkij_auto from tkij_tot .
void n_comp_import (const Single_hor &comp)
 Imports the part of N due to the companion hole comp .
void psi_comp_import (const Single_hor &comp)
 Imports the part of $\Psi$ due to the companion hole comp .
void beta_comp_import (const Single_hor &comp)
 Imports the part of $\beta^i$ due to the companion hole comp.
double viriel_seul () const
 Computes the viriel error, that is the difference between the ADM and the Komar masses, calculated by the asymptotic behaviours of respectively $\Psi$ and N .
void init_bhole ()
 Sets the values of the fields to :.
void init_met_trK ()
 Sets the 3-metric tilde to the flat metric and gamt_point, trK and trK_point to zero.
void init_bhole_seul ()
 Initiates for a single black hole.
void set_psi_auto (const Scalar &psi_in)
 Sets the conformal factor $ \Psi $ relating the physical metric $ \gamma_{ij} $ to the conformal one: $ \gamma_{ij} = \Psi^4 \tilde\gamma_{ij} $.
void set_n_auto (const Scalar &nn_in)
 Sets the lapse.
void set_beta_auto (const Scalar &shift_in)
 Sets the shift.
void set_aa_auto (const Scalar &aa_auto_in)
 Sets aa_auto.
void set_aa_comp (const Scalar &aa_comp_in)
 Sets aa_comp.
void set_aa (const Scalar &aa_in)
 Sets aa.
const Scalar b_tilde () const
 Radial component of the shift with respect to the conformal metric.
const Scalar darea_hor () const
 Element of area of the horizon.
double area_hor () const
 Area of the horizon.
double radius_hor () const
 Radius of the horizon.
double ang_mom_hor () const
 Angular momentum (modulo).
double mass_hor () const
 Mass computed at the horizon.
double kappa_hor () const
 Surface gravity.
double omega_hor () const
 Orbital velocity.
double ang_mom_adm () const
 ADM angular Momentum.
Scalar expansion () const
 Expansion of the outgoing null normal ($ \bf n + \bf s $).
const Valeur boundary_psi_app_hor () const
 Neumann boundary condition for.
const Valeur boundary_nn_Dir (double aa) const
 Dirichlet boundary condition for N $ \partial_r N + a N = 0 $.
const Valeur boundary_nn_Neu (double aa) const
 Neumann boundary condition on nn $ \partial_r N + a N = 0 $.
const Valeur boundary_beta_x (double om_orb, double om_loc) const
 Component x of boundary value of $ \beta $.
const Valeur boundary_beta_y (double om_orb, double om_loc) const
 Component y of boundary value of $ \beta $.
const Valeur boundary_beta_z () const
 Component z of boundary value of $ \beta $.
double regularisation (const Vector &shift_auto, const Vector &shift_comp, double ang_vel)
 Corrects shift_auto in such a way that the total $A^{ij}$ is equal to zero in the horizon, which should ensure the regularity of $K^{ij}$.
double regularise_one ()
 Corrects the shift in the innermost shell, so that it remains $ {\mathcal{C}}^2$ and that $A^{ij}$ equals zero on the horizon.
virtual void sauve (FILE *fich) const
 Total or partial saves in a binary file.

Protected Member Functions

void del_deriv () const
 Deletes all the derived quantities.
void set_der_0x0 () const
 Sets to 0x0 all the pointers on derived quantities.

Protected Attributes

Map_afmp
 Affine mapping.
int nz
 Number of zones.
double radius
 Radius of the horizon in LORENE's units.
double omega
 Angular velocity in LORENE's units.
double regul
 Intensity of the correction on the shift vector.
Scalar n_auto
 Lapse function $ N_{auto} $.
Scalar n_comp
 Lapse function $ N_{comp} $.
Scalar nn
 Lapse function $ N $.
Scalar psi_auto
 Conformal factor $ \Psi_{auto} $.
Scalar psi_comp
 Conformal factor $ \Psi_{comp} $.
Scalar psi
 Conformal factor $ \Psi $.
Scalarp_psi4
 Conformal factor $ \Psi^4 $.
Vector dn
 Covariant derivative of the lapse with respect to the flat metric $ \overline\nabla_i N $.
Vector dpsi
 Covariant derivative of the conformal factor $ \overline\nabla_i \Psi $.
Vector beta_auto
 Shift function $ \beta^i_{auto} $.
Vector beta_comp
 Shift function $ \beta^i_{comp} $.
Vector beta
 Shift function $ \beta^i $.
Metricp_gam
 Spatial metric $ \gamma $.
Sym_tensor aa_auto
 Components $ A^{ij}_{auto} $ of the conformal representation of the traceless part of the extrinsic curvature:.
Sym_tensor aa_comp
 Components $ A^{ij}_{comp} $ of the conformal representation of the traceless part of the extrinsic curvature:.
Sym_tensor aa
 Components $ A^{ij} $ of the conformal representation of the traceless part of the extrinsic curvature:.
Sym_tensorp_k_dd
 Components $ K^{ij} $ of the extrinsic curvature:.
Metric tgam
 3 metric tilde
Metric_flat ff
 3 metric flat
Sym_tensor hh
 Deviation metric.
Sym_tensor gamt_point
 Time derivative of the 3-metric tilde.
Scalar trK
 Trace of the extrinsic curvature.
Scalar trK_point
 Time derivative of the trace of the extrinsic curvature.
Scalar decouple
 Function used to construct $ A^{ij}_{auto} $ from the total $A^{ij}$.

Friends

class Bin_hor

Detailed Description

Binary black holes system.

()

This class is intended for dealing with binary black holes configurations in the conformaly flat approximation.

Definition at line 894 of file isol_hor.h.


Constructor & Destructor Documentation

Lorene::Single_hor::Single_hor ( Map_af mpi  ) 

Standard constructor.

Parameters:
mpi affine mapping

Definition at line 73 of file single_hor.C.

References hh, set_der_0x0(), and Lorene::Tensor::set_etat_zero().

Lorene::Single_hor::Single_hor ( const Single_hor singlehor_in  ) 

Copy constructor.

Definition at line 99 of file single_hor.C.

References set_der_0x0().

Lorene::Single_hor::Single_hor ( Map_af mp,
FILE *  fich 
)

Constructor from a binary file.

Parameters:
mpi affine mapping
fich file containing the saved isol_hor
partial_read indicates whether the full object must be read in file or whether the final construction is devoted to a constructor of a derived class

Definition at line 133 of file single_hor.C.

References Lorene::Metric_flat::con(), ff, Lorene::fread_be(), gamt_point, Lorene::Map::get_bvect_spher(), Lorene::Map::get_mg(), hh, mp, omega, set_der_0x0(), tgam, trK, and trK_point.

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

Destructor.

Definition at line 179 of file single_hor.C.

References del_deriv().


Member Function Documentation

double Lorene::Single_hor::ang_mom_adm (  )  const
double Lorene::Single_hor::ang_mom_hor (  )  const
double Lorene::Single_hor::area_hor (  )  const

Area of the horizon.

Definition at line 91 of file single_param.C.

References darea_hor(), Lorene::Map_af::integrale_surface(), mp, Lorene::Scalar::raccord(), and radius.

const Scalar Lorene::Single_hor::b_tilde (  )  const

Radial component of the shift with respect to the conformal metric.

Definition at line 71 of file single_param.C.

References beta, Lorene::contract(), Lorene::Tensor::down(), Lorene::Metric::radial_vect(), and tgam.

void Lorene::Single_hor::beta_comp_import ( const Single_hor comp  ) 

Imports the part of $\beta^i$ due to the companion hole comp.

The total $\beta^i$ is then calculated.

Definition at line 468 of file single_hor.C.

References beta, beta_auto, beta_comp, Lorene::Map::get_bvect_cart(), Lorene::Map::get_bvect_spher(), and mp.

const Valeur Lorene::Single_hor::boundary_beta_x ( double  om_orb,
double  om_loc 
) const
const Valeur Lorene::Single_hor::boundary_beta_y ( double  om_orb,
double  om_loc 
) const
const Valeur Lorene::Single_hor::boundary_beta_z (  )  const
const Valeur Lorene::Single_hor::boundary_nn_Dir ( double  aa  )  const

Dirichlet boundary condition for N $ \partial_r N + a N = 0 $.

Definition at line 138 of file single_bound.C.

References Lorene::Mg3d::get_angu(), Lorene::Map::get_mg(), Lorene::Mg3d::get_np(), Lorene::Mg3d::get_nt(), mp, nn, and Lorene::Scalar::val_grid_point().

const Valeur Lorene::Single_hor::boundary_nn_Neu ( double  aa  )  const
const Valeur Lorene::Single_hor::boundary_psi_app_hor (  )  const
const Scalar Lorene::Single_hor::darea_hor (  )  const

Element of area of the horizon.

Definition at line 80 of file single_param.C.

References get_gam(), Lorene::sqrt(), and Lorene::Scalar::std_spectral_base().

void Lorene::Single_hor::del_deriv (  )  const [protected]

Deletes all the derived quantities.

Definition at line 224 of file single_hor.C.

References p_gam, p_k_dd, p_psi4, and set_der_0x0().

Scalar Lorene::Single_hor::expansion (  )  const

Expansion of the outgoing null normal ($ \bf n + \bf s $).

Definition at line 193 of file single_param.C.

References Lorene::contract(), get_gam(), get_k_dd(), and trK.

const Sym_tensor & Lorene::Single_hor::get_aa (  )  const

Conformal representation $ A^{ij} $ of the traceless part of the extrinsic curvature:.

Definition at line 337 of file single_hor.C.

References aa.

const Sym_tensor & Lorene::Single_hor::get_aa_auto (  )  const

Conformal representation $ A^{ij}_{auto} $ of the traceless part of the extrinsic curvature:.

Definition at line 327 of file single_hor.C.

References aa_auto.

const Sym_tensor & Lorene::Single_hor::get_aa_comp (  )  const

Conformal representation $ A^{ij}_{comp} $ of the traceless part of the extrinsic curvature:.

Definition at line 332 of file single_hor.C.

References aa_comp.

const Vector & Lorene::Single_hor::get_beta (  )  const

Shift function $ \beta^i $.

Definition at line 322 of file single_hor.C.

References beta.

const Vector & Lorene::Single_hor::get_beta_auto (  )  const

Shift function $ \beta^i_{auto} $.

Definition at line 312 of file single_hor.C.

References beta_auto.

const Vector & Lorene::Single_hor::get_beta_comp (  )  const

Shift function $ \beta^i_{comp} $.

Definition at line 317 of file single_hor.C.

References beta_comp.

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

Returns the function used to construct tkij_auto from tkij_tot .

Definition at line 1146 of file isol_hor.h.

References decouple.

const Vector & Lorene::Single_hor::get_dn (  )  const

Covariant derivative of the lapse function $ \overline\nabla_i N $.

Definition at line 302 of file single_hor.C.

References dn.

const Vector & Lorene::Single_hor::get_dpsi (  )  const

Covariant derivative with respect to the flat metric of the conformal factor $ \overline\nabla_i \Psi $.

Definition at line 307 of file single_hor.C.

References dpsi.

const Metric & Lorene::Single_hor::get_gam (  )  const

metric $ \gamma_{ij} $

Definition at line 342 of file single_hor.C.

References Lorene::Metric::cov(), get_psi4(), p_gam, and tgam.

const Sym_tensor & Lorene::Single_hor::get_k_dd (  )  const
const Map_af& Lorene::Single_hor::get_mp (  )  const [inline]

Returns the mapping (readonly).

Definition at line 1038 of file isol_hor.h.

References mp.

const Scalar & Lorene::Single_hor::get_n_auto (  )  const

Lapse function $ N_{auto} $.

Definition at line 264 of file single_hor.C.

References n_auto.

const Scalar & Lorene::Single_hor::get_n_comp (  )  const

Lapse function $ N_{comp} $.

Definition at line 269 of file single_hor.C.

References n_comp.

const Scalar & Lorene::Single_hor::get_nn (  )  const

Lapse function $ N$.

Definition at line 273 of file single_hor.C.

References nn.

double Lorene::Single_hor::get_omega (  )  const [inline]

Returns the angular velocity.

Definition at line 1056 of file isol_hor.h.

References omega.

const Scalar & Lorene::Single_hor::get_psi (  )  const

Conformal factor $ \Psi $.

Definition at line 287 of file single_hor.C.

References psi.

const Scalar & Lorene::Single_hor::get_psi4 (  )  const

Conformal factor $ \Psi^4 $.

Definition at line 291 of file single_hor.C.

References p_psi4, Lorene::pow(), psi, and Lorene::Scalar::std_spectral_base().

const Scalar & Lorene::Single_hor::get_psi_auto (  )  const

Conformal factor $ \Psi_{auto} $.

Definition at line 278 of file single_hor.C.

References psi_auto.

const Scalar & Lorene::Single_hor::get_psi_comp (  )  const

Conformal factor $ \Psi_{comp} $.

Definition at line 283 of file single_hor.C.

References psi_comp.

double Lorene::Single_hor::get_radius (  )  const [inline]

Returns the radius of the horizon.

Definition at line 1046 of file isol_hor.h.

References radius.

const Metric& Lorene::Single_hor::get_tgam (  )  const [inline]

Conformal metric $ \tilde\gamma_{ij} = \Psi^{-4} \gamma_{ij} $.

Definition at line 1133 of file isol_hor.h.

References tgam.

void Lorene::Single_hor::init_bhole (  ) 

Sets the values of the fields to :.

  • n_auto $= \frac{1}{2}-2\frac{a}{r}$
  • n_comp $= \frac{1}{2}$
  • psi_auto $= \frac{1}{2}+\frac{a}{r}$
  • psi_comp $= \frac{1}{2}$

a being the radius of the hole, the other fields being set to zero.

Definition at line 487 of file single_hor.C.

References Lorene::Scalar::annule(), beta, beta_auto, beta_comp, Lorene::Scalar::derive_cov(), dn, dpsi, ff, Lorene::Map::get_bvect_spher(), mp, n_auto, n_comp, nn, psi, psi_auto, psi_comp, Lorene::Map::r, Lorene::Scalar::raccord(), radius, Lorene::Coord::set(), Lorene::Vector::set(), Lorene::Scalar::set_dzpuis(), and Lorene::Scalar::std_spectral_base().

void Lorene::Single_hor::init_bhole_seul (  ) 
void Lorene::Single_hor::init_met_trK (  ) 

Sets the 3-metric tilde to the flat metric and gamt_point, trK and trK_point to zero.

Definition at line 539 of file single_hor.C.

References Lorene::Map::flat_met_spher(), gamt_point, mp, Lorene::Scalar::set_etat_zero(), Lorene::Tensor::set_etat_zero(), tgam, trK, and trK_point.

double Lorene::Single_hor::kappa_hor (  )  const

Surface gravity.

Definition at line 149 of file single_param.C.

References ang_mom_hor(), Lorene::pow(), radius_hor(), and Lorene::sqrt().

double Lorene::Single_hor::mass_hor (  )  const

Mass computed at the horizon.

Definition at line 138 of file single_param.C.

References ang_mom_hor(), Lorene::pow(), radius_hor(), and Lorene::sqrt().

void Lorene::Single_hor::n_comp_import ( const Single_hor comp  ) 

Imports the part of N due to the companion hole comp .

The total N is then calculated.

It also imports the covariant derivative of N and construct the total $\nabla_i N$.

Definition at line 393 of file single_hor.C.

References Lorene::Tensor::derive_cov(), Lorene::Scalar::derive_cov(), dn, ff, Lorene::Map::get_bvect_cart(), Lorene::Map::get_bvect_spher(), Lorene::Scalar::import(), mp, n_auto, n_comp, nn, Lorene::Scalar::set_etat_qcq(), and Lorene::Scalar::std_spectral_base().

double Lorene::Single_hor::omega_hor (  )  const

Orbital velocity.

Definition at line 163 of file single_param.C.

References ang_mom_hor(), Lorene::pow(), radius_hor(), and Lorene::sqrt().

void Lorene::Single_hor::operator= ( const Single_hor singlehor_in  ) 

Assignment to another Single_hor.

Definition at line 189 of file single_hor.C.

References aa, aa_auto, aa_comp, beta, beta_auto, beta_comp, decouple, dn, dpsi, ff, gamt_point, hh, mp, n_auto, n_comp, nn, nz, omega, psi, psi_auto, psi_comp, radius, regul, tgam, trK, and trK_point.

void Lorene::Single_hor::psi_comp_import ( const Single_hor comp  ) 

Imports the part of $\Psi$ due to the companion hole comp .

The total $\Psi$ is then calculated.

It also imports the covariant derivative of $\Psi$ and construct the total $\nabla_i \Psi$.

Definition at line 427 of file single_hor.C.

References Lorene::Tensor::derive_cov(), Lorene::Scalar::derive_cov(), dpsi, ff, Lorene::Map::get_bvect_cart(), Lorene::Map::get_bvect_spher(), Lorene::Scalar::import(), mp, psi, psi_auto, psi_comp, Lorene::Scalar::set_etat_qcq(), and Lorene::Scalar::std_spectral_base().

double Lorene::Single_hor::radius_hor (  )  const

Radius of the horizon.

Definition at line 100 of file single_param.C.

References area_hor(), and Lorene::pow().

double Lorene::Single_hor::regularisation ( const Vector shift_auto,
const Vector shift_comp,
double  ang_vel 
)
double Lorene::Single_hor::regularise_one (  ) 
void Lorene::Single_hor::sauve ( FILE *  fich  )  const [virtual]

Total or partial saves in a binary file.

Parameters:
fich binary file
partial_save indicates whether the whole object must be saved.

Definition at line 247 of file single_hor.C.

References beta_auto, Lorene::Metric::con(), Lorene::fwrite_be(), gamt_point, n_auto, omega, psi_auto, Lorene::Tensor_sym::sauve(), Lorene::Tensor::sauve(), Lorene::Scalar::sauve(), tgam, trK, and trK_point.

void Lorene::Single_hor::set_aa ( const Scalar aa_in  ) 

Sets aa.

Definition at line 385 of file single_hor.C.

References aa.

void Lorene::Single_hor::set_aa_auto ( const Scalar aa_auto_in  ) 

Sets aa_auto.

Definition at line 377 of file single_hor.C.

References aa_auto.

void Lorene::Single_hor::set_aa_comp ( const Scalar aa_comp_in  ) 

Sets aa_comp.

Definition at line 381 of file single_hor.C.

References aa_comp.

void Lorene::Single_hor::set_beta_auto ( const Scalar shift_in  ) 

Sets the shift.

Definition at line 373 of file single_hor.C.

References beta_auto.

void Lorene::Single_hor::set_der_0x0 (  )  const [protected]

Sets to 0x0 all the pointers on derived quantities.

Definition at line 234 of file single_hor.C.

References p_gam, p_k_dd, and p_psi4.

Map_af& Lorene::Single_hor::set_mp (  )  [inline]

Read/write of the mapping.

Definition at line 1041 of file isol_hor.h.

References mp.

void Lorene::Single_hor::set_n_auto ( const Scalar nn_in  ) 

Sets the lapse.

Definition at line 369 of file single_hor.C.

References n_auto.

void Lorene::Single_hor::set_omega ( double  ome  )  [inline]

Sets the angular velocity to ome .

Definition at line 1060 of file isol_hor.h.

References omega.

void Lorene::Single_hor::set_psi_auto ( const Scalar psi_in  ) 

Sets the conformal factor $ \Psi $ relating the physical metric $ \gamma_{ij} $ to the conformal one: $ \gamma_{ij} = \Psi^4 \tilde\gamma_{ij} $.

$ \Psi $ is defined by

\[ \Psi := \left( \frac{\det\gamma_{ij}}{\det f_{ij}} \right) ^{1/12} \]

Sets the value at the current time step (jtime ) and delete all quantities which depend on $ \Psi $.

Definition at line 365 of file single_hor.C.

References psi_auto.

void Lorene::Single_hor::set_radius ( double  rad  )  [inline]

Sets the radius of the horizon to rad .

Definition at line 1051 of file isol_hor.h.

References radius.

double Lorene::Single_hor::viriel_seul (  )  const

Computes the viriel error, that is the difference between the ADM and the Komar masses, calculated by the asymptotic behaviours of respectively $\Psi$ and N .

WARNING this should only be used for an isolated black hole.

Definition at line 60 of file binhor_viriel.C.

References Lorene::Scalar::asymptot(), Lorene::Map::get_mg(), Lorene::Mg3d::get_nzone(), mp, n_auto, and psi_auto.


Member Data Documentation

Components $ A^{ij} $ of the conformal representation of the traceless part of the extrinsic curvature:.

Definition at line 971 of file isol_hor.h.

Components $ A^{ij}_{auto} $ of the conformal representation of the traceless part of the extrinsic curvature:.

Definition at line 959 of file isol_hor.h.

Components $ A^{ij}_{comp} $ of the conformal representation of the traceless part of the extrinsic curvature:.

Definition at line 965 of file isol_hor.h.

Shift function $ \beta^i $.

Definition at line 950 of file isol_hor.h.

Shift function $ \beta^i_{auto} $.

Definition at line 944 of file isol_hor.h.

Shift function $ \beta^i_{comp} $.

Definition at line 947 of file isol_hor.h.

Function used to construct $ A^{ij}_{auto} $ from the total $A^{ij}$.

Only used for a binary system.

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

Definition at line 1002 of file isol_hor.h.

Covariant derivative of the lapse with respect to the flat metric $ \overline\nabla_i N $.

Definition at line 937 of file isol_hor.h.

Covariant derivative of the conformal factor $ \overline\nabla_i \Psi $.

Definition at line 941 of file isol_hor.h.

3 metric flat

Definition at line 980 of file isol_hor.h.

Time derivative of the 3-metric tilde.

Definition at line 986 of file isol_hor.h.

Deviation metric.

Definition at line 983 of file isol_hor.h.

Affine mapping.

Definition at line 900 of file isol_hor.h.

Lapse function $ N_{auto} $.

Definition at line 915 of file isol_hor.h.

Lapse function $ N_{comp} $.

Definition at line 918 of file isol_hor.h.

Lapse function $ N $.

Definition at line 921 of file isol_hor.h.

int Lorene::Single_hor::nz [protected]

Number of zones.

Definition at line 903 of file isol_hor.h.

double Lorene::Single_hor::omega [protected]

Angular velocity in LORENE's units.

Definition at line 909 of file isol_hor.h.

Metric* Lorene::Single_hor::p_gam [mutable, protected]

Spatial metric $ \gamma $.

Definition at line 953 of file isol_hor.h.

Sym_tensor* Lorene::Single_hor::p_k_dd [mutable, protected]

Components $ K^{ij} $ of the extrinsic curvature:.

Definition at line 974 of file isol_hor.h.

Scalar* Lorene::Single_hor::p_psi4 [mutable, protected]

Conformal factor $ \Psi^4 $.

Definition at line 933 of file isol_hor.h.

Conformal factor $ \Psi $.

Definition at line 930 of file isol_hor.h.

Conformal factor $ \Psi_{auto} $.

Definition at line 924 of file isol_hor.h.

Conformal factor $ \Psi_{comp} $.

Definition at line 927 of file isol_hor.h.

double Lorene::Single_hor::radius [protected]

Radius of the horizon in LORENE's units.

Definition at line 906 of file isol_hor.h.

double Lorene::Single_hor::regul [protected]

Intensity of the correction on the shift vector.

Definition at line 912 of file isol_hor.h.

3 metric tilde

Definition at line 977 of file isol_hor.h.

Trace of the extrinsic curvature.

Definition at line 989 of file isol_hor.h.

Time derivative of the trace of the extrinsic curvature.

Definition at line 992 of file isol_hor.h.


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

Generated on 7 Dec 2019 for LORENE by  doxygen 1.6.1