Single_hor Class Reference
[Stars and black holes]

Binary black holes system. More...

#include <isol_hor.h>

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_af &	get_mp () const
	Returns the mapping (readonly).
Map_af &	set_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 Scalar &	get_n_auto () const
	Lapse function $N_{auto}$ .
const Scalar &	get_n_comp () const
	Lapse function $N_{comp}$ .
const Scalar &	get_nn () const
	Lapse function .
const Scalar &	get_psi_auto () const
	Conformal factor $\Psi_{auto}$ .
const Scalar &	get_psi_comp () const
	Conformal factor $\Psi_{comp}$ .
const Scalar &	get_psi () const
	Conformal factor $\Psi$ .
const Scalar &	get_psi4 () const
	Conformal factor $\Psi^4$ .
const Vector &	get_dn () const
	Covariant derivative of the lapse function $\overline\nabla_i N$ .
const Vector &	get_dpsi () const
	Covariant derivative with respect to the flat metric of the conformal factor $\overline\nabla_i \Psi$ .
const Vector &	get_beta_auto () const
	Shift function $\beta^i_{auto}$ .
const Vector &	get_beta_comp () const
	Shift function $\beta^i_{comp}$ .
const Vector &	get_beta () const
	Shift function $\beta^i$ .
const Sym_tensor &	get_aa_auto () const
	Conformal representation $A^{ij}_{auto}$ of the traceless part of the extrinsic curvature:.
const Sym_tensor &	get_aa_comp () const
	Conformal representation $A^{ij}_{comp}$ of the traceless part of the extrinsic curvature:.
const Sym_tensor &	get_aa () const
	Conformal representation $A^{ij}$ of the traceless part of the extrinsic curvature:.
const Metric &	get_tgam () const
	Conformal metric $\tilde\gamma_{ij} = \Psi^{-4} \gamma_{ij}$ .
const Metric &	get_gam () const
	metric $\gamma_{ij}$
const Sym_tensor &	get_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_af &	mp
	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 .
Scalar	psi_auto
	Conformal factor $\Psi_{auto}$ .
Scalar	psi_comp
	Conformal factor $\Psi_{comp}$ .
Scalar	psi
	Conformal factor $\Psi$ .
Scalar *	p_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 $\beta^i$ .
Metric *	p_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_tensor *	p_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 892 of file isol_hor.h.

Constructor & Destructor Documentation

Single_hor::Single_hor ( Map_af & mpi )

Standard constructor.

Parameters:

mpi

affine mapping

Definition at line 66 of file single_hor.C.

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

Single_hor::Single_hor ( const Single_hor & singlehor_in )

Copy constructor.

Definition at line 92 of file single_hor.C.

References set_der_0x0().

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 126 of file single_hor.C.

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

Single_hor::~Single_hor ( ) [virtual]

Destructor.

Definition at line 172 of file single_hor.C.

References del_deriv().

Member Function Documentation

double Single_hor::ang_mom_adm ( ) const

ADM angular Momentum.

Definition at line 170 of file single_param.C.

References Metric::cov(), get_gam(), get_k_dd(), Map_af::integrale_surface_infini(), mp, Scalar::mult_rsint(), and trK.

double Single_hor::ang_mom_hor ( ) const

Angular momentum (modulo).

Definition at line 103 of file single_param.C.

References contract(), darea_hor(), ff, get_gam(), get_k_dd(), Metric::get_mp(), Metric_flat::get_triad(), Map_af::integrale_surface(), mp, radius, and Vector::set().

double Single_hor::area_hor ( ) const

Area of the horizon.

Definition at line 84 of file single_param.C.

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

const Scalar Single_hor::b_tilde ( ) const

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

Definition at line 64 of file single_param.C.

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

void 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 461 of file single_hor.C.

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

const Valeur Single_hor::boundary_beta_x	(	double	om_orb,
		double	om_loc
	)			const

Component x of boundary value of $\beta$ .

Definition at line 170 of file single_bound.C.

References Vector::change_triad(), Mg3d::get_angu(), Map::get_bvect_cart(), get_gam(), Map::get_mg(), Mg3d::get_np(), Mg3d::get_nt(), Map::get_rot_phi(), mp, nn, Metric::radial_vect(), Coord::set(), Mg3d::std_base_vect_cart(), Map::y, and Map::ya.

const Valeur Single_hor::boundary_beta_y	(	double	om_orb,
		double	om_loc
	)			const

Component y of boundary value of $\beta$ .

Definition at line 213 of file single_bound.C.

References Vector::change_triad(), Mg3d::get_angu(), Map::get_bvect_cart(), get_gam(), Map::get_mg(), Mg3d::get_np(), Mg3d::get_nt(), Map::get_rot_phi(), mp, nn, Metric::radial_vect(), Coord::set(), Mg3d::std_base_vect_cart(), Map::x, and Map::xa.

const Valeur Single_hor::boundary_beta_z ( ) const

Component z of boundary value of $\beta$ .

Definition at line 256 of file single_bound.C.

References Vector::change_triad(), Mg3d::get_angu(), Map::get_bvect_cart(), get_gam(), Map::get_mg(), Mg3d::get_np(), Mg3d::get_nt(), mp, nn, Metric::radial_vect(), and Mg3d::std_base_vect_cart().

const Valeur Single_hor::boundary_nn_Dir ( double aa ) const

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

Definition at line 131 of file single_bound.C.

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

const Valeur Single_hor::boundary_nn_Neu ( double aa ) const

Neumann boundary condition on nn $\partial_r N + a N = 0$ .

Definition at line 102 of file single_bound.C.

References dn, Mg3d::get_angu(), Map::get_mg(), Mg3d::get_np(), Mg3d::get_nt(), mp, nn, Metric::radial_vect(), tgam, and Scalar::val_grid_point().

const Valeur Single_hor::boundary_psi_app_hor ( ) const

Neumann boundary condition for.

Definition at line 65 of file single_bound.C.

References contract(), Scalar::derive_cov(), Vector::divergence(), ff, Map::flat_met_spher(), Mg3d::get_angu(), Map::get_bvect_spher(), get_k_dd(), Map::get_mg(), Mg3d::get_np(), Mg3d::get_nt(), mp, psi, Metric::radial_vect(), Tbl::set(), Valeur::set(), tgam, trK, and Scalar::val_grid_point().

const Scalar Single_hor::darea_hor ( ) const

Element of area of the horizon.

Definition at line 73 of file single_param.C.

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

void Single_hor::del_deriv ( ) const [protected]

Deletes all the derived quantities.

Definition at line 217 of file single_hor.C.

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

Scalar Single_hor::expansion ( ) const

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

Definition at line 186 of file single_param.C.

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

const Sym_tensor & Single_hor::get_aa ( ) const

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

Definition at line 330 of file single_hor.C.

References aa.

const Sym_tensor & Single_hor::get_aa_auto ( ) const

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

Definition at line 320 of file single_hor.C.

References aa_auto.

const Sym_tensor & Single_hor::get_aa_comp ( ) const

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

Definition at line 325 of file single_hor.C.

References aa_comp.

const Vector & Single_hor::get_beta ( ) const

Shift function $\beta^i$ .

Definition at line 315 of file single_hor.C.

References beta.

const Vector & Single_hor::get_beta_auto ( ) const

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

Definition at line 305 of file single_hor.C.

References beta_auto.

const Vector & Single_hor::get_beta_comp ( ) const

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

Definition at line 310 of file single_hor.C.

References beta_comp.

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

Returns the function used to construct tkij_auto from tkij_tot .

Definition at line 1144 of file isol_hor.h.

References decouple.

const Vector & Single_hor::get_dn ( ) const

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

Definition at line 295 of file single_hor.C.

References dn.

const Vector & Single_hor::get_dpsi ( ) const

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

Definition at line 300 of file single_hor.C.

References dpsi.

const Metric & Single_hor::get_gam ( ) const

metric $\gamma_{ij}$

Definition at line 335 of file single_hor.C.

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

const Sym_tensor & Single_hor::get_k_dd ( ) const

k_dd

Definition at line 344 of file single_hor.C.

References aa, get_gam(), get_psi4(), p_k_dd, Tensor::std_spectral_base(), trK, and Tensor::up_down().

const Map_af& Single_hor::get_mp ( ) const [inline]

Returns the mapping (readonly).

Definition at line 1036 of file isol_hor.h.

References mp.

const Scalar & Single_hor::get_n_auto ( ) const

Lapse function $N_{auto}$ .

Definition at line 257 of file single_hor.C.

References n_auto.

const Scalar & Single_hor::get_n_comp ( ) const

Lapse function $N_{comp}$ .

Definition at line 262 of file single_hor.C.

References n_comp.

const Scalar & Single_hor::get_nn ( ) const

Lapse function $ N$ .

Definition at line 266 of file single_hor.C.

References nn.

double Single_hor::get_omega ( ) const [inline]

Returns the angular velocity.

Definition at line 1054 of file isol_hor.h.

References omega.

const Scalar & Single_hor::get_psi ( ) const

Conformal factor $\Psi$ .

Definition at line 280 of file single_hor.C.

References psi.

const Scalar & Single_hor::get_psi4 ( ) const

Conformal factor $\Psi^4$ .

Definition at line 284 of file single_hor.C.

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

const Scalar & Single_hor::get_psi_auto ( ) const

Conformal factor $\Psi_{auto}$ .

Definition at line 271 of file single_hor.C.

References psi_auto.

const Scalar & Single_hor::get_psi_comp ( ) const

Conformal factor $\Psi_{comp}$ .

Definition at line 276 of file single_hor.C.

References psi_comp.

double Single_hor::get_radius ( ) const [inline]

Returns the radius of the horizon.

Definition at line 1044 of file isol_hor.h.

References radius.

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

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

Definition at line 1131 of file isol_hor.h.

References tgam.

void 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 480 of file single_hor.C.

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

void Single_hor::init_bhole_seul ( )

Initiates for a single black hole.

WARNING It supposes that the boost is zero and should only be used for an isolated black hole..

Definition at line 544 of file single_hor.C.

References Scalar::annule(), beta, beta_auto, beta_comp, Scalar::derive_cov(), dn, dpsi, ff, Map::get_bvect_spher(), Map::get_mg(), mp, n_auto, n_comp, nn, psi, psi_auto, psi_comp, Map::r, Scalar::raccord(), radius, Scalar::set_dzpuis(), Tensor::set_etat_zero(), Scalar::set_etat_zero(), Scalar::set_outer_boundary(), and Scalar::std_spectral_base().

void 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 532 of file single_hor.C.

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

double Single_hor::kappa_hor ( ) const

Surface gravity.

Definition at line 142 of file single_param.C.

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

double Single_hor::mass_hor ( ) const

Mass computed at the horizon.

Definition at line 131 of file single_param.C.

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

void 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 386 of file single_hor.C.

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

double Single_hor::omega_hor ( ) const

Orbital velocity.

Definition at line 156 of file single_param.C.

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

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

Assignment to another Single_hor.

Definition at line 182 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 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 420 of file single_hor.C.

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

double Single_hor::radius_hor ( ) const

Radius of the horizon.

Definition at line 93 of file single_param.C.

References area_hor(), and pow().

double Single_hor::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 $K^{ij}$ .

WARNING : this should only be used for a black hole in a binary system Bin_hor.

Parameters:

comp

[input]: the part of $\beta^i$ generated by the companion hole.

Definition at line 55 of file single_regul.C.

References Cmp::annule(), Tensor::annule_domain(), beta_auto, Valeur::c, Vector::change_triad(), Valeur::coef_i(), diffrelmax(), Map::get_bvect_cart(), Map::get_mg(), Tensor::get_mp(), Mg3d::get_np(), Mg3d::get_nr(), Mg3d::get_nt(), Map::get_rot_phi(), Scalar::get_spectral_va(), Tensor::get_triad(), norme(), nz, pow(), Vector::set(), Valeur::set_etat_c_qcq(), Scalar::set_spectral_va(), and Vector::std_spectral_base().

double Single_hor::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.

return the relative difference between the shift before and after the regularisation.

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

Definition at line 149 of file single_regul.C.

References Cmp::annule(), Tensor::annule_domain(), beta, Vector::change_triad(), Valeur::coef_i(), diffrelmax(), Map::get_bvect_cart(), Map::get_bvect_spher(), Map::get_mg(), Mg3d::get_np(), Mg3d::get_nr(), Mg3d::get_nt(), Mg3d::get_nzone(), mp, norme(), nz, omega, pow(), Map::r, Vector::set(), Valeur::set_etat_c_qcq(), Scalar::set_spectral_va(), Vector::std_spectral_base(), Map_af::val_r(), Map::x, and Map::y.

void 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 240 of file single_hor.C.

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

void Single_hor::set_aa ( const Scalar & aa_in )

Sets aa.

Definition at line 378 of file single_hor.C.

References aa.

void Single_hor::set_aa_auto ( const Scalar & aa_auto_in )

Sets aa_auto.

Definition at line 370 of file single_hor.C.

References aa_auto.

void Single_hor::set_aa_comp ( const Scalar & aa_comp_in )

Sets aa_comp.

Definition at line 374 of file single_hor.C.

References aa_comp.

void Single_hor::set_beta_auto ( const Scalar & shift_in )

Sets the shift.

Definition at line 366 of file single_hor.C.

References beta_auto.

void Single_hor::set_der_0x0 ( ) const [protected]

Sets to 0x0 all the pointers on derived quantities.

Definition at line 227 of file single_hor.C.

References p_gam, p_k_dd, and p_psi4.

Map_af& Single_hor::set_mp ( ) [inline]

Read/write of the mapping.

Definition at line 1039 of file isol_hor.h.

References mp.

void Single_hor::set_n_auto ( const Scalar & nn_in )

Sets the lapse.

Definition at line 362 of file single_hor.C.

References n_auto.

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

Sets the angular velocity to ome .

Definition at line 1058 of file isol_hor.h.

References omega.

void 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 358 of file single_hor.C.

References psi_auto.

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

Sets the radius of the horizon to rad .

Definition at line 1049 of file isol_hor.h.

References radius.

double 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 53 of file binhor_viriel.C.

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