Hole_bhns Class Reference
[Stars and black holes]

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

#include <hole_bhns.h>

Inheritance diagram for Hole_bhns:

Public Member Functions
	Hole_bhns (Map &mp_i, bool kerrschild_i, bool bc_lapconf_nd, bool bc_lapconf_fs, bool irrotational, double massbh)
	Standard constructor.
	Hole_bhns (const Hole_bhns &)
	Copy constructor.
	Hole_bhns (Map &mp_i, FILE *fich)
	Constructor from a file (see `sauve(FILE*)` ).
virtual	~Hole_bhns ()
	Destructor.
void	operator= (const Hole_bhns &)
	Assignment to another `Hole_bhns`.
double &	set_omega_spin ()
	Sets the spin angular velocity of the black hole [{ f}].
Scalar &	set_lapconf_auto_rs ()
	Read/write of the lapconf function generated by the black hole.
Scalar &	set_lapconf_auto_bh ()
	Read/write of the lapconf function generated by the black hole.
Scalar &	set_lapconf_auto ()
	Read/write of the lapconf function generated by the black hole.
Scalar &	set_lapconf_comp ()
	Read/write of the lapconf function generated by the companion star.
Scalar &	set_lapconf_tot ()
	Read/write of the total lapconf function.
Scalar &	set_lapse_auto ()
	Read/write of the lapse function generated by the black hole.
Scalar &	set_lapse_tot ()
	Read/write of the total lapse function.
Vector &	set_shift_auto_rs ()
	Read/write of the shift vector generated by the black hole.
Vector &	set_shift_auto_bh ()
	Read/write of the shift vector generated by the black hole.
Vector &	set_shift_auto ()
	Read/write of the shift vector generated by the black hole.
Vector &	set_shift_comp ()
	Read/write of the shift vector generated by the companion star.
Vector &	set_shift_tot ()
	Read/write of the total shift vector.
Scalar &	set_confo_auto_rs ()
	Read/write of the conformal factor generated by the black hole.
Scalar &	set_confo_auto_bh ()
	Read/write of the conformal factor generated by the black hole.
Scalar &	set_confo_auto ()
	Read/write of the conformal factor generated by the black hole.
Scalar &	set_confo_comp ()
	Read/write of the conformal factor generated by the companion star.
Scalar &	set_confo_tot ()
	Read/write of the total conformal factor.
bool	has_bc_lapconf_nd () const
	Returns `true` for the Neumann type BC for the lapconf function, `false` for the Dirichlet type BH.
bool	has_bc_lapconf_fs () const
	Returns `true` for the first type BC for the lapconf function, `false` for the second type BH.
bool	is_irrotational () const
	Returns `true` for an irrotational black hole, `false` for a corotating one.
double	get_omega_spin () const
	Returns the spin angular velocity of the black hole [{ f}].
const Scalar &	get_lapconf_auto_rs () const
	Returns the part of the lapconf function from numerical computation.
const Scalar &	get_lapconf_auto () const
	Returns the part of the lapconf function generated by the black hole.
const Scalar &	get_lapconf_comp () const
	Returns the part of the lapconf function generated by the companion star.
const Scalar &	get_lapconf_tot () const
	Returns the total lapconf function.
const Scalar &	get_lapse_auto () const
	Returns the part of the lapse function generated by the black hole.
const Scalar &	get_lapse_tot () const
	Returns the total lapse function.
const Vector &	get_d_lapconf_auto_rs () const
	Returns the derivative of the lapconf function generated by the black hole.
const Vector &	get_d_lapconf_auto () const
	Returns the derivative of the lapconf function generated by the black hole.
const Vector &	get_d_lapconf_comp () const
	Returns the derivative of the lapconf function generated by the companion star.
const Vector &	get_shift_auto_rs () const
	Returns the part of the shift vector from numerical computation.
const Vector &	get_shift_auto () const
	Returns the part of the shift vector generated by the black hole.
const Vector &	get_shift_comp () const
	Returns the part of the shift vector generated by the companion star.
const Vector &	get_shift_tot () const
	Returns the total shift vector.
const Tensor &	get_d_shift_auto_rs () const
	Returns the derivative of the shift vector generated by the black hole.
const Tensor &	get_d_shift_auto () const
	Returns the derivative of the shift vector generated by the black hole.
const Tensor &	get_d_shift_comp () const
	Returns the derivative of the shift vector generated by the companion star.
const Scalar &	get_confo_auto_rs () const
	Returns the part of the conformal factor from numerical computation.
const Scalar &	get_confo_auto () const
	Returns the part of the conformal factor generated by the black hole.
const Scalar &	get_confo_comp () const
	Returns the part of the conformal factor generated by the companion star.
const Scalar &	get_confo_tot () const
	Returns the total conformal factor.
const Vector &	get_d_confo_auto_rs () const
	Returns the derivative of the conformal factor generated by the black hole.
const Vector &	get_d_confo_auto () const
	Returns the derivative of the conformal factor generated by the black hole.
const Vector &	get_d_confo_comp () const
	Returns the derivative of the conformal factor generated by the companion star.
const Sym_tensor &	get_taij_tot_rs () const
	Returns the part of rs of the extrinsic curvature tensor.
const Sym_tensor &	get_taij_tot () const
	Returns the total extrinsic curvature tensor.
const Sym_tensor &	get_taij_auto_rs () const
	Returns the part of rs of the extrinsic curvature tensor generated by the black hole.
const Sym_tensor &	get_taij_auto () const
	Returns the part of the extrinsic curvature tensor generated by the black hole.
const Sym_tensor &	get_taij_comp () const
	Returns the part of the extrinsic curvature tensor generated by the companion star.
const Scalar &	get_taij_quad_tot_rs () const
	Returns the part of rs.
const Scalar &	get_taij_quad_tot_rot () const
	Returns the part of rot.
const Scalar &	get_taij_quad_tot () const
	Returns the total scalar $\eta_{ik} \eta_{jl} A^{ij} A^{kl}$ .
const Scalar &	get_taij_quad_auto () const
	Returns the part of rs generated by the black hole.
const Scalar &	get_taij_quad_comp () const
	Returns the part of rs generated by the companion star.
virtual void	sauve (FILE *) const
	Save in a file.
virtual double	mass_irr_bhns () const
	Irreducible mass of the black hole.
double	spin_am_bhns (const Tbl &xi_i, const double &phi_i, const double &theta_i, const int &nrk_phi, const int &nrk_theta) const
	Spin angular momentum of the black hole.
const Valeur	bc_lapconf () const
	Boundary condition on the apparent horizon of the black hole for the lapconf function: 2-D `Valeur`.
const Valeur	bc_shift_x (double ome_orb, double y_rot) const
	Boundary condition on the apparent horizon of the black hole for the shift vector of the direction: 2-D `Valeur`.
const Valeur	bc_shift_y (double ome_orb, double x_rot) const
	Boundary condition on the apparent horizon of the black hole for the shift vector of the direction: 2-D `Valeur`.
const Valeur	bc_shift_z () const
	Boundary condition on the apparent horizon of the black hole for the shift vector of the direction: 2-D `Valeur`.
const Valeur	bc_confo (double ome_orb, double x_rot, double y_rot) const
	Boundary condition on the apparent horizon of the black hole for the conformal factor: 2-D `Valeur`.
void	update_metric_bhns (const Star_bhns &star, const Hole_bhns &hole_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 Star_bhns &star)
	Computes derivative of metric quantities from the companion neutron star.
void	extr_curv_bhns (double omega_orb, double x_rot, double y_rot)
	Computes `taij_tot` , `taij_quad_tot` from `shift_tot` , `lapse_tot` , `confo_tot` .
void	equilibrium_bhns (int mer, int mermax_bh, int filter_r, int filter_r_s, int filter_p_s, double x_rot, double y_rot, double precis, double omega_orb, double resize_bh, const Tbl &fact_resize, Tbl &diff)
	Computes a black-hole part in a black hole-neutron star binary by giving boundary conditions on the apparent horizon.
void	relax_bhns (const Hole_bhns &hole_prev, double relax_met, int mer, int fmer_met)
	Performs a relaxation on `lapse_auto` , `shift_auto` , `confo_auto` .
Tbl	runge_kutta_phi (const Tbl &xi_i, const double &phi_i, const int &nrk) const
	Compute a forth-order Runge-Kutta integration to the phi direction for the solution of the Killing vectors on the equator.
Tbl	runge_kutta_theta (const Tbl &xi_i, const double &theta_i, const double &phi, const int &nrk) const
	Compute a forth-order Runge-Kutta integration to the theta direction for the solution of the Killing vectors.
Vector	killing_vect (const Tbl &xi_i, const double &phi_i, const double &theta_i, const int &nrk_phi, const int &nrk_theta) const
	Compute the Killing vector of a black hole normalized so that its affine length is 2 M_PI.
Map &	set_mp ()
	Read/write of the mapping.
double &	set_mass_bh ()
	Read/write of the gravitational mass of BH [{ m}].
const Map &	get_mp () const
	Returns the mapping.
bool	is_kerrschild () const
	Returns `true` for a Kerr-Schild background, `false` for a Conformally flat one.
double	get_mass_bh () const
	Returns the gravitational mass of BH [{ m}].
const Scalar &	get_lapconf () const
	Returns lapconf generated by the black hole.
const Scalar &	get_lapconf_rs () const
	Returns the part of lapconf from the numerical computation.
const Scalar &	get_lapse () const
	Returns the lapse function generated by the black hole.
const Vector &	get_shift () const
	Returns the shift vector generated by the black hole.
const Vector &	get_shift_rs () const
	Returns the part of the shift vector from the numerical computation.
const Scalar &	get_confo () const
	Returns the conformal factor generated by the black hole.
virtual double	mass_irr () const
	Irreducible mass of the black hole.
virtual double	mass_adm () const
	ADM mass.
virtual double	mass_kom () const
	Komar mass.
virtual double	rad_ah () const
	Radius of the apparent horizon.
double	spin_am_bh (bool bclapconf_nd, bool bclapconf_fs, const Tbl &xi_i, const double &phi_i, const double &theta_i, const int &nrk_phi, const int &nrk_theta) const
	Spin angular momentum.
const Tbl &	angu_mom_bh () const
	Total angular momentum.
const Valeur	bc_lapconf (bool neumann, bool first) const
	Boundary condition on the apparent horizon of the black hole for the lapse function: 2-D `Valeur`.
const Valeur	bc_shift_x (double omega_r) const
	Boundary condition on the apparent horizon of the black hole for the shift vector of the direction: 2-D `Valeur`.
const Valeur	bc_shift_y (double omega_r) const
	Boundary condition on the apparent horizon of the black hole for the shift vector of the direction: 2-D `Valeur`.
const Valeur	bc_confo () const
	Boundary condition on the apparent horizon of the black hole for the conformal factor: 2-D `Valeur`.
void	extr_curv_bh ()
	Computes `taij` , `taij_quad` from `shift` , `lapse` , `confo` .
void	equilibrium_spher (bool neumann, bool first, double spin_omega, double precis=1.e-14, double precis_shift=1.e-8)
	Computes a spherical, static black-hole by giving boundary conditions on the apparent horizon.
void	static_bh (bool neumann, bool first)
	Sets the metric quantities to a spherical, static blach-hole analytic solution.
double	rah_iso (bool neumann, bool first) const
	Computes a radius of apparent horizon (excised surface) in isotropic coordinates.
const Scalar	r_coord (bool neumann, bool first) const
	Expresses the areal radial coordinate by that in spatially isotropic coordinates.
Tbl	runge_kutta_phi_bh (const Tbl &xi_i, const double &phi_i, const int &nrk) const
	Compute a forth-order Runge-Kutta integration to the phi direction for the solution of the Killing vectors on the equator.
Tbl	runge_kutta_theta_bh (const Tbl &xi_i, const double &theta_i, const double &phi, const int &nrk) const
	Compute a forth-order Runge-Kutta integration to the theta direction for the solution of the Killing vectors.
Vector	killing_vect_bh (const Tbl &xi_i, const double &phi_i, const double &theta_i, const int &nrk_phi, const int &nrk_theta) const
	Compute the Killing vector of a black hole normalized so that its affine length is 2 M_PI.
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 <<).
Protected Attributes
bool	bc_lapconf_nd
	`true` for the Neumann type BC for the lapconf function, `false` for the Dirichlet type BH
bool	bc_lapconf_fs
	`true` for the first type BC for the lapconf function, `false` for the second type BH
bool	irrotational
	`true` for an irrotational black hole, `false` for a corotating one
double	omega_spin
	Spin angular velocity of the black hole.
Scalar	lapconf_auto_rs
	Part of the lapconf function from the numerical computation.
Scalar	lapconf_auto_bh
	Part of the lapconf function from the analytic background.
Scalar	lapconf_auto
	Lapconf function generated by the black hole.
Scalar	lapconf_comp
	Lapconf function generated by the companion star.
Scalar	lapconf_tot
	Total lapconf function.
Scalar	lapse_auto
	Lapse function of the "black hole" part.
Scalar	lapse_tot
	Total lapse function.
Vector	d_lapconf_auto_rs
	Derivative of the part of the lapconf function from the numerical computation.
Vector	d_lapconf_auto_bh
	Derivative of the part of the lapconf function from the analytic background.
Vector	d_lapconf_auto
	Derivative of the lapconf function generated by the black hole.
Vector	d_lapconf_comp
	Derivative of the lapconf function generated by the companion star.
Vector	shift_auto_rs
	Part of the shift vector from the numerical computation.
Vector	shift_auto_bh
	Part of the shift vector from the analytic background.
Vector	shift_auto
	Shift vector generated by the black hole.
Vector	shift_comp
	Shift vector generated by the companion star.
Vector	shift_tot
	Total shift vector ;.
Tensor	d_shift_auto_rs
	Derivative of the part of the shift vector from the numerical computation.
Tensor	d_shift_auto_bh
	Derivative of the part of the shift vector from the analytic background.
Tensor	d_shift_auto
	Derivative of the shift vector generated by the black hole.
Tensor	d_shift_comp
	Derivative of the shift vector generated by the companion star.
Scalar	confo_auto_rs
	Part of the conformal factor from the numerical computation.
Scalar	confo_auto_bh
	Part of the conformal factor from the analytic background.
Scalar	confo_auto
	Conformal factor generated by the black hole.
Scalar	confo_comp
	Conformal factor generated by the companion star.
Scalar	confo_tot
	Total conformal factor.
Vector	d_confo_auto_rs
	Derivative of the part of the conformal factor from the numerical computation.
Vector	d_confo_auto_bh
	Derivative of the part of the conformal factor from the analytic background.
Vector	d_confo_auto
	Derivative of the conformal factor generated by the black hole.
Vector	d_confo_comp
	Derivative of the conformal factor generated by the companion star.
Sym_tensor	taij_tot_rs
	Part of the extrinsic curvature tensor from the numerical computation.
Sym_tensor	taij_tot_rot
	Part of the extrinsic curvature tensor from the rotation shift vector.
Sym_tensor	taij_tot_bh
	Part of the extrinsic curvature tensor from the analytic background.
Sym_tensor	taij_tot
	Total extrinsic curvature tensor $\ A^{ij}$ generated by `shift_tot` , `lapse_tot` , and `confo_tot` .
Sym_tensor	taij_auto_rs
	Part of the extrinsic curvature tensor numericalty computed for the black hole.
Sym_tensor	taij_auto
	Part of the extrinsic curvature tensor generated by the black hole.
Sym_tensor	taij_comp
	Part of the extrinsic curvature tensor generated by the companion star.
Scalar	taij_quad_tot_rs
	Part of the scalar from the numerical computation.
Scalar	taij_quad_tot_rot
	Part of the scalar from the rotation shift vector.
Scalar	taij_quad_tot_bh
	Part of the scalar from the analytic background.
Scalar	taij_quad_tot
	Total scalar $\eta_{ik} \eta_{jl} A^{ij} A^{kl}$ generated by $A_{ij}^{\rm tot}$ .
Scalar	taij_quad_auto
	Part of the scalar from the black hole.
Scalar	taij_quad_comp
	Part of the scalar from the companion star.
double *	p_mass_irr_bhns
double *	p_spin_am_bhns
	Irreducible mass of BH.
Map &	mp
	Mapping associated with the black hole.
bool	kerrschild
	`true` for a Kerr-Schild background, `false` for a conformally flat background
double	mass_bh
	Gravitational mass of BH.
Scalar	lapconf
	A function (lapse function * conformal factor) lapconf generated by the black hole.
Scalar	lapconf_rs
	Part of lapconf from the numerical computation.
Scalar	lapconf_bh
	Part of lapconf from the analytic background.
Scalar	lapse
	Lapse function generated by the black hole.
Vector	shift
	Shift vector generated by the black hole.
Vector	shift_rs
	Part of the shift vector from the numerical computation.
Vector	shift_bh
	Part of the shift vector from the analytic background.
Scalar	confo
	Conformal factor generated by the black hole.
Sym_tensor	taij
	Trace of the extrinsic curvature.
Sym_tensor	taij_rs
	Part of the extrinsic curvature tensor.
Scalar	taij_quad
	Part of the scalar $\eta_{ik} \eta_{jl} A^{ij} A^{kl}$ generated by $A_{ij}$ .
Scalar	taij_quad_rs
	Part of the scalar.
Metric_flat	flat
	Flat metric defined on the mapping (Spherical components with respect to the mapping of the black hole ).
double *	p_mass_irr
	Conformal metric $\tilde \gamma_{ij}$ .
double *	p_mass_adm
	Irreducible mass of the black hole.
double *	p_mass_kom
	ADM mass.
double *	p_rad_ah
	Komar mass.
double *	p_spin_am_bh
	Radius of the apparent horizon.
Tbl *	p_angu_mom_bh
	Spin angular momentum.
Friends
class	Bin_bhns
ostream &	operator<< (ostream &, const Black_hole &)
	Display.

Detailed Description

Class for black holes in black hole-neutron star binaries.

()

Definition at line 60 of file hole_bhns.h.

Constructor & Destructor Documentation

Hole_bhns::Hole_bhns	(	Map &	mp_i,
		bool	kerrschild_i,
		bool	bc_lapconf_nd,
		bool	bc_lapconf_fs,
		bool	irrotational,
		double	massbh
	)

Standard constructor.

Parameters:

mp_i

Mapping on which the black hole will be defined

Definition at line 64 of file hole_bhns.C.

References confo_auto, confo_auto_bh, confo_auto_rs, confo_comp, confo_tot, d_confo_auto, d_confo_auto_bh, d_confo_auto_rs, d_confo_comp, d_lapconf_auto, d_lapconf_auto_bh, d_lapconf_auto_rs, d_lapconf_comp, d_shift_auto, d_shift_auto_bh, d_shift_auto_rs, d_shift_comp, lapconf_auto, lapconf_auto_bh, lapconf_auto_rs, lapconf_comp, lapconf_tot, lapse_auto, lapse_tot, omega_spin, set_der_0x0(), Tensor::set_etat_zero(), shift_auto, shift_auto_bh, shift_auto_rs, shift_comp, shift_tot, Scalar::std_spectral_base(), taij_auto, taij_auto_rs, taij_comp, taij_quad_auto, taij_quad_comp, taij_quad_tot, taij_quad_tot_bh, taij_quad_tot_rot, taij_quad_tot_rs, taij_tot, taij_tot_bh, taij_tot_rot, and taij_tot_rs.

Hole_bhns::Hole_bhns ( const Hole_bhns & hole )

Copy constructor.

Definition at line 193 of file hole_bhns.C.

References set_der_0x0().

Hole_bhns::Hole_bhns	(	Map &	mp_i,
		FILE *	fich
	)

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

Parameters:

	mp_i	Mapping on which the black hole will be defined
	fich	input file (must have been created by the function `sauve` )

Definition at line 247 of file hole_bhns.C.

References bc_lapconf_fs, bc_lapconf_nd, confo_auto, confo_auto_bh, confo_comp, confo_tot, d_confo_auto, d_confo_auto_bh, d_confo_auto_rs, d_confo_comp, d_lapconf_auto, d_lapconf_auto_bh, d_lapconf_auto_rs, d_lapconf_comp, d_shift_auto, d_shift_auto_bh, d_shift_auto_rs, d_shift_comp, irrotational, lapconf_auto, lapconf_auto_bh, lapconf_comp, lapconf_tot, lapse_auto, lapse_tot, omega_spin, set_der_0x0(), Tensor::set_etat_zero(), shift_auto, shift_auto_bh, shift_comp, shift_tot, Scalar::std_spectral_base(), taij_auto, taij_auto_rs, taij_comp, taij_quad_auto, taij_quad_comp, taij_quad_tot, taij_quad_tot_bh, taij_quad_tot_rot, taij_quad_tot_rs, taij_tot, taij_tot_bh, taij_tot_rot, and taij_tot_rs.

Hole_bhns::~Hole_bhns ( ) [virtual]

Destructor.

Definition at line 376 of file hole_bhns.C.

References del_deriv().

Member Function Documentation

const Tbl & Black_hole::angu_mom_bh ( ) const [inherited]

Total angular momentum.

Returns:: 1-D { Tbl} of size 3, according to \ { angu()(0)} = $J^x$, \ { angu()(1)} = $J^y$, \ { angu()(2)} = $J^z$.

Definition at line 630 of file blackhole_global.C.

References Tensor::annule_domain(), Tbl::annule_hard(), Map::cosp, Map::cost, Scalar::dec_dzpuis(), Map::get_bvect_cart(), Map_af::integrale_surface(), Black_hole::mp, Black_hole::p_angu_mom_bh, Scalar::raccord(), Tbl::set(), Tensor::set(), Map::sinp, Map::sint, Scalar::std_spectral_base(), Black_hole::taij, Map::val_r(), Map::x, Map::y, and Map::z.

const Valeur Black_hole::bc_confo ( ) const [inherited]

Boundary condition on the apparent horizon of the black hole for the conformal factor: 2-D Valeur.

Definition at line 406 of file blackhole_bc.C.

References Black_hole::confo, Map::cosp, Map::cost, Scalar::dsdr(), Mg3d::get_angu(), Scalar::get_dzpuis(), Map::get_mg(), Mg3d::get_np(), Mg3d::get_nt(), Black_hole::kerrschild, Black_hole::lapconf, Black_hole::mass_bh, Black_hole::mp, pow(), Map::r, Valeur::set(), Scalar::set_dzpuis(), Black_hole::shift, Map::sinp, Map::sint, Valeur::std_base_scal(), Scalar::std_spectral_base(), and Scalar::val_grid_point().

const Valeur Hole_bhns::bc_confo	(	double	ome_orb,
		double	x_rot,
		double	y_rot
	)			const

Boundary condition on the apparent horizon of the black hole for the conformal factor: 2-D Valeur.

Parameters:

	ome_orb	orbital angular velocity
	x_rot	position of the rotation axis

Definition at line 499 of file hole_bhns_bc.C.

References bc_lapconf_fs, bc_lapconf_nd, confo_auto_rs, confo_comp, confo_tot, Map::cosp, Map::cost, d_confo_comp, d_shift_comp, Scalar::dec_dzpuis(), Scalar::dsdr(), Mg3d::get_angu(), Map::get_bvect_cart(), Map::get_mg(), Mg3d::get_np(), Mg3d::get_nt(), Black_hole::kerrschild, lapconf_tot, Black_hole::mass_bh, Black_hole::mp, pow(), Map::r, Black_hole::r_coord(), Valeur::set(), Tensor::set(), shift_auto_rs, shift_comp, Map::sinp, Map::sint, sqrt(), Valeur::std_base_scal(), Scalar::std_spectral_base(), and Scalar::val_grid_point().

const Valeur Black_hole::bc_lapconf	(	bool	neumann,
		bool	first
	)			const `[inherited]`

Boundary condition on the apparent horizon of the black hole for the lapse function: 2-D Valeur.

Definition at line 67 of file blackhole_bc.C.

References Mg3d::get_angu(), Map::get_mg(), Mg3d::get_np(), Mg3d::get_nt(), Black_hole::kerrschild, Black_hole::lapconf, Black_hole::mp, Map::r, Valeur::set(), Valeur::std_base_scal(), Scalar::std_spectral_base(), and Scalar::val_grid_point().

const Valeur Hole_bhns::bc_lapconf ( ) const

Boundary condition on the apparent horizon of the black hole for the lapconf function: 2-D Valeur.

Definition at line 64 of file hole_bhns_bc.C.

References bc_lapconf_fs, bc_lapconf_nd, Map::cosp, Map::cost, d_lapconf_comp, Mg3d::get_angu(), Map::get_mg(), Mg3d::get_np(), Mg3d::get_nt(), Scalar::inc_dzpuis(), Black_hole::kerrschild, lapconf_auto_rs, lapconf_comp, Black_hole::mp, Map::r, Valeur::set(), Map::sinp, Map::sint, Valeur::std_base_scal(), Scalar::std_spectral_base(), and Scalar::val_grid_point().

const Valeur Black_hole::bc_shift_x ( double omega_r ) const [inherited]