Binary black holes system. More...

#include <isol_hor.h>

Public Member Functions
	Single_hor (Map_af &mpi)
	Standard constructor. More...

	Single_hor (const Single_hor &)
	Copy constructor. More...

	Single_hor (Map_af &mp, FILE *fich)
	Constructor from a binary file. More...

virtual	~Single_hor ()
	Destructor. More...

void	operator= (const Single_hor &)
	Assignment to another Single_hor. More...

const Map_af &	get_mp () const
	Returns the mapping (readonly). More...

Map_af &	set_mp ()
	Read/write of the mapping. More...

double	get_radius () const
	Returns the radius of the horizon. More...

void	set_radius (double rad)
	Sets the radius of the horizon to `rad` . More...

double	get_omega () const
	Returns the angular velocity. More...

void	set_omega (double ome)
	Sets the angular velocity to `ome` . More...

const Scalar &	get_n_auto () const
	Lapse function $N_{auto}$ . More...

const Scalar &	get_n_comp () const
	Lapse function $N_{comp}$ . More...

const Scalar &	get_nn () const
	Lapse function . More...

const Scalar &	get_psi_auto () const
	Conformal factor $\Psi_{auto}$ . More...

const Scalar &	get_psi_comp () const
	Conformal factor $\Psi_{comp}$ . More...

const Scalar &	get_psi () const
	Conformal factor $\Psi$ . More...

const Scalar &	get_psi4 () const
	Conformal factor $\Psi^4$ . More...

const Vector &	get_dn () const
	Covariant derivative of the lapse function $\overline\nabla_i N$ . More...

const Vector &	get_dpsi () const
	Covariant derivative with respect to the flat metric of the conformal factor $\overline\nabla_i \Psi$ . More...

const Vector &	get_beta_auto () const
	Shift function $\beta^i_{auto}$ . More...

const Vector &	get_beta_comp () const
	Shift function $\beta^i_{comp}$ . More...

const Vector &	get_beta () const
	Shift function $\beta^i$ . More...

const Sym_tensor &	get_aa_auto () const
	Conformal representation $A^{ij}_{auto}$ of the traceless part of the extrinsic curvature: More...

const Sym_tensor &	get_aa_comp () const
	Conformal representation $A^{ij}_{comp}$ of the traceless part of the extrinsic curvature: More...

const Sym_tensor &	get_aa () const
	Conformal representation $A^{ij}$ of the traceless part of the extrinsic curvature: More...

const Metric &	get_tgam () const
	Conformal metric $\tilde\gamma_{ij} = \Psi^{-4} \gamma_{ij}$ . More...

const Metric &	get_gam () const
	metric $\gamma_{ij}$ More...

const Sym_tensor &	get_k_dd () const
	k_dd More...

const Scalar	get_decouple () const
	Returns the function used to construct `tkij_auto` from `tkij_tot` . More...

void	n_comp_import (const Single_hor &comp)
	Imports the part of N due to the companion hole `comp` . More...

void	psi_comp_import (const Single_hor &comp)
	Imports the part of $\Psi$ due to the companion hole `comp` . More...

void	beta_comp_import (const Single_hor &comp)
	Imports the part of $\beta^i$ due to the companion hole `comp`. More...

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 . More...

void	init_bhole ()
	Sets the values of the fields to : More...

void	init_met_trK ()
	Sets the 3-metric tilde to the flat metric and gamt_point, trK and trK_point to zero. More...

void	init_bhole_seul ()
	Initiates for a single black hole. More...

void	set_psi_auto (const Scalar &psi_in)
	Sets the conformal factor $\Psi$ relating the physical metric $\gamma_{ij}$ to the conformal one: $\gamma_{ij} = \Psi^4 \tilde\gamma_{ij}$ . More...

void	set_n_auto (const Scalar &nn_in)
	Sets the lapse. More...

void	set_beta_auto (const Scalar &shift_in)
	Sets the shift. More...

void	set_aa_auto (const Scalar &aa_auto_in)
	Sets aa_auto. More...

void	set_aa_comp (const Scalar &aa_comp_in)
	Sets aa_comp. More...

void	set_aa (const Scalar &aa_in)
	Sets aa. More...

const Scalar	b_tilde () const
	Radial component of the shift with respect to the conformal metric. More...

const Scalar	darea_hor () const
	Element of area of the horizon. More...

double	area_hor () const
	Area of the horizon. More...

double	radius_hor () const
	Radius of the horizon. More...

double	ang_mom_hor () const
	Angular momentum (modulo) More...

double	mass_hor () const
	Mass computed at the horizon. More...

double	kappa_hor () const
	Surface gravity. More...

double	omega_hor () const
	Orbital velocity. More...

double	ang_mom_adm () const
	ADM angular Momentum. More...

Scalar	expansion () const
	Expansion of the outgoing null normal ( $\bf n + \bf s$ ) More...

const Valeur	boundary_psi_app_hor () const
	Neumann boundary condition for. More...

Component x of boundary value of f beta f const Valeur	boundary_beta_x (double om_orb, double om_loc) const

Component y of boundary value of f beta f const Valeur	boundary_beta_y (double om_orb, double om_loc) const

Component z of boundary value of f beta f const Valeur	boundary_beta_z () const

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 $K^{ij}$ . More...

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. More...

virtual void	sauve (FILE *fich) const
	Total or partial saves in a binary file. More...

Public Attributes
Dirichlet boundary condition for c N f partial_r N a	N

Neumann boundary condition on nn f partial_r N a	N

Protected Member Functions
void	del_deriv () const
	Deletes all the derived quantities. More...

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

Protected Attributes
Map_af &	mp
	Affine mapping. More...

int	nz
	Number of zones. More...

double	radius
	Radius of the horizon in LORENE's units. More...

double	omega
	Angular velocity in LORENE's units. More...

double	regul
	Intensity of the correction on the shift vector. More...

Scalar	n_auto
	Lapse function $N_{auto}$ . More...

Scalar	n_comp
	Lapse function $N_{comp}$ . More...

Scalar	nn
	Lapse function . More...

Scalar	psi_auto
	Conformal factor $\Psi_{auto}$ . More...

Scalar	psi_comp
	Conformal factor $\Psi_{comp}$ . More...

Scalar	psi
	Conformal factor $\Psi$ . More...

Scalar *	p_psi4
	Conformal factor $\Psi^4$ . More...

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

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

Vector	beta_auto
	Shift function $\beta^i_{auto}$ . More...

Vector	beta_comp
	Shift function $\beta^i_{comp}$ . More...

Vector	beta
	Shift function $\beta^i$ . More...

Metric *	p_gam
	Spatial metric $\gamma$ . More...

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

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

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

Sym_tensor *	p_k_dd
	Components $K^{ij}$ of the extrinsic curvature: More...

Metric	tgam
	3 metric tilde More...

Metric_flat	ff
	3 metric flat More...

Sym_tensor	hh
	Deviation metric. More...

Sym_tensor	gamt_point
	Time derivative of the 3-metric tilde. More...

Scalar	trK
	Trace of the extrinsic curvature. More...

Scalar	trK_point
	Time derivative of the trace of the extrinsic curvature. More...

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

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

◆ Single_hor() [1/3]

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().

◆ Single_hor() [2/3]

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().

◆ Single_hor() [3/3]

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::con(), 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.

◆ ~Single_hor()

Lorene::Single_hor::~Single_hor ( )

virtual

Destructor.

Definition at line 179 of file single_hor.C.

References del_deriv().

Member Function Documentation

◆ ang_mom_adm()

double Lorene::Single_hor::ang_mom_adm ( ) const

ADM angular Momentum.

Definition at line 177 of file single_param.C.

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

◆ ang_mom_hor()

double Lorene::Single_hor::ang_mom_hor ( ) const

Angular momentum (modulo)

Definition at line 110 of file single_param.C.

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

◆ area_hor()

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.

◆ b_tilde()

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.

◆ beta_comp_import()

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.

◆ boundary_psi_app_hor()

const Valeur Lorene::Single_hor::boundary_psi_app_hor ( ) const

Neumann boundary condition for.

Definition at line 72 of file single_bound.C.

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

◆ darea_hor()

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().

◆ del_deriv()

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().

◆ expansion()

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.

◆ get_aa()

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.

◆ get_aa_auto()

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.

◆ get_aa_comp()

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.

◆ get_beta()

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

Shift function $\beta^i$ .

Definition at line 322 of file single_hor.C.

References beta.

◆ get_beta_auto()

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.

◆ get_beta_comp()

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.

◆ get_decouple()

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.

◆ get_dn()

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.

◆ get_dpsi()

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.

◆ get_gam()

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.

◆ get_k_dd()

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

k_dd

Definition at line 351 of file single_hor.C.

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

◆ get_mp()

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.

◆ get_n_auto()

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.

◆ get_n_comp()

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.

◆ get_nn()

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

Lapse function $ N$ .

Definition at line 273 of file single_hor.C.

References nn.

◆ get_omega()

double Lorene::Single_hor::get_omega ( ) const

inline

Returns the angular velocity.

Definition at line 1056 of file isol_hor.h.

References omega.

◆ get_psi()

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

Conformal factor $\Psi$ .

Definition at line 287 of file single_hor.C.

References psi.

◆ get_psi4()

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().

◆ get_psi_auto()

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.

◆ get_psi_comp()

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.

◆ get_radius()

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.

◆ get_tgam()

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.

◆ init_bhole()

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(), Lorene::Tensor::set_etat_zero(), and Lorene::Scalar::std_spectral_base().

◆ init_bhole_seul()

void Lorene::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 551 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(), Lorene::Map::get_mg(), mp, n_auto, n_comp, nn, psi, psi_auto, psi_comp, Lorene::Map::r, Lorene::Scalar::raccord(), radius, Lorene::Scalar::set_dzpuis(), Lorene::Scalar::set_etat_zero(), Lorene::Tensor::set_etat_zero(), Lorene::Scalar::set_outer_boundary(), and Lorene::Scalar::std_spectral_base().

◆ init_met_trK()

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.

◆ kappa_hor()

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().

◆ mass_hor()

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().

◆ n_comp_import()

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

◆ omega_hor()

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().

◆ operator=()

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.

◆ psi_comp_import()

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

◆ radius_hor()

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().

◆ regularisation()

double Lorene::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 62 of file single_regul.C.

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

◆ regularise_one()

double Lorene::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 156 of file single_regul.C.

References beta, Lorene::Vector::change_triad(), Lorene::Valeur::coef_i(), Lorene::Map::get_bvect_cart(), mp, omega, Lorene::Vector::set(), Lorene::Valeur::set_etat_c_qcq(), Lorene::Scalar::set_spectral_va(), Lorene::Map::x, and Lorene::Map::y.

◆ sauve()

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::sauve(), Lorene::Scalar::sauve(), Lorene::Tensor_sym::sauve(), tgam, trK, and trK_point.

◆ set_aa()

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

Sets aa.

Definition at line 385 of file single_hor.C.

References aa.

◆ set_aa_auto()

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.

◆ set_aa_comp()

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.

◆ set_beta_auto()

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.

◆ set_der_0x0()

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.

◆ set_mp()

Map_af& Lorene::Single_hor::set_mp ( )

inline

Read/write of the mapping.

Definition at line 1041 of file isol_hor.h.

References mp.

◆ set_n_auto()

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.

◆ set_omega()

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.

◆ set_psi_auto()

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.

◆ set_radius()

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.

◆ viriel_seul()

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

◆ aa

Sym_tensor Lorene::Single_hor::aa

protected

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

Definition at line 971 of file isol_hor.h.

◆ aa_auto

Sym_tensor Lorene::Single_hor::aa_auto

protected

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.

◆ aa_comp

Sym_tensor Lorene::Single_hor::aa_comp

protected

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.

◆ beta

Vector Lorene::Single_hor::beta

protected

Shift function $\beta^i$ .

Definition at line 950 of file isol_hor.h.

◆ beta_auto

Vector Lorene::Single_hor::beta_auto

protected

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

Definition at line 944 of file isol_hor.h.

◆ beta_comp

Vector Lorene::Single_hor::beta_comp

protected

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

Definition at line 947 of file isol_hor.h.

◆ decouple

Scalar Lorene::Single_hor::decouple

protected

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.

◆ dn

Vector Lorene::Single_hor::dn

protected

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

Definition at line 937 of file isol_hor.h.

◆ dpsi

Vector Lorene::Single_hor::dpsi

protected

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

Definition at line 941 of file isol_hor.h.

◆ ff

Metric_flat Lorene::Single_hor::ff

protected

3 metric flat

Definition at line 980 of file isol_hor.h.

◆ gamt_point

Sym_tensor Lorene::Single_hor::gamt_point

protected

Time derivative of the 3-metric tilde.

Definition at line 986 of file isol_hor.h.

◆ hh

Sym_tensor Lorene::Single_hor::hh

protected

Deviation metric.

Definition at line 983 of file isol_hor.h.

◆ mp

Map_af& Lorene::Single_hor::mp

protected

Affine mapping.

Definition at line 900 of file isol_hor.h.

◆ N [1/2]

Dirichlet boundary condition for c N f partial_r N a Lorene::Single_hor::N

Initial value:

= 0 \f$

const Valeur boundary_nn_Dir(double aa) const

Definition at line 1282 of file isol_hor.h.

◆ N [2/2]

Neumann boundary condition on nn f partial_r N a Lorene::Single_hor::N

Initial value:

= 0 \f$

const Valeur boundary_nn_Neu(double aa) const

Definition at line 1286 of file isol_hor.h.

◆ n_auto

Scalar Lorene::Single_hor::n_auto

protected

Lapse function $N_{auto}$ .

Definition at line 915 of file isol_hor.h.

◆ n_comp

Scalar Lorene::Single_hor::n_comp

protected

Lapse function $N_{comp}$ .

Definition at line 918 of file isol_hor.h.

◆ nn

Scalar Lorene::Single_hor::nn

protected

Lapse function $ N $ .

Definition at line 921 of file isol_hor.h.

◆ nz

int Lorene::Single_hor::nz

protected

Number of zones.

Definition at line 903 of file isol_hor.h.

◆ omega

double Lorene::Single_hor::omega

protected

Angular velocity in LORENE's units.

Definition at line 909 of file isol_hor.h.

◆ p_gam

Metric* Lorene::Single_hor::p_gam

mutableprotected

Spatial metric $\gamma$ .

Definition at line 953 of file isol_hor.h.

◆ p_k_dd

Sym_tensor* Lorene::Single_hor::p_k_dd

mutableprotected

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

Definition at line 974 of file isol_hor.h.

◆ p_psi4

Scalar* Lorene::Single_hor::p_psi4

mutableprotected

Conformal factor $\Psi^4$ .

Definition at line 933 of file isol_hor.h.

◆ psi

Scalar Lorene::Single_hor::psi

protected

Conformal factor $\Psi$ .

Definition at line 930 of file isol_hor.h.

◆ psi_auto

Scalar Lorene::Single_hor::psi_auto

protected

Conformal factor $\Psi_{auto}$ .

Definition at line 924 of file isol_hor.h.

◆ psi_comp

Scalar Lorene::Single_hor::psi_comp

protected

Conformal factor $\Psi_{comp}$ .

Definition at line 927 of file isol_hor.h.

◆ radius

double Lorene::Single_hor::radius

protected

Radius of the horizon in LORENE's units.

Definition at line 906 of file isol_hor.h.

◆ regul

double Lorene::Single_hor::regul

protected

Intensity of the correction on the shift vector.

Definition at line 912 of file isol_hor.h.

◆ tgam

Metric Lorene::Single_hor::tgam

protected

3 metric tilde

Definition at line 977 of file isol_hor.h.

◆ trK

Scalar Lorene::Single_hor::trK

protected

Trace of the extrinsic curvature.

Definition at line 989 of file isol_hor.h.

◆ trK_point

Scalar Lorene::Single_hor::trK_point

protected

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:

Public Member Functions

Public Attributes

Protected Member Functions

Protected Attributes

Friends

Detailed Description

Constructor & Destructor Documentation

◆ Single_hor() [1/3]

◆ Single_hor() [2/3]

◆ Single_hor() [3/3]

◆ ~Single_hor()

Member Function Documentation

◆ ang_mom_adm()

◆ ang_mom_hor()

◆ area_hor()

◆ b_tilde()

◆ beta_comp_import()

◆ boundary_psi_app_hor()

◆ darea_hor()

◆ del_deriv()

◆ expansion()

◆ get_aa()

◆ get_aa_auto()

◆ get_aa_comp()

◆ get_beta()

◆ get_beta_auto()

◆ get_beta_comp()

◆ get_decouple()

◆ get_dn()

◆ get_dpsi()

◆ get_gam()

◆ get_k_dd()

◆ get_mp()

◆ get_n_auto()

◆ get_n_comp()

◆ get_nn()

◆ get_omega()

◆ get_psi()

◆ get_psi4()

◆ get_psi_auto()

◆ get_psi_comp()

◆ get_radius()

◆ get_tgam()

◆ init_bhole()

◆ init_bhole_seul()

◆ init_met_trK()

◆ kappa_hor()

◆ mass_hor()

◆ n_comp_import()

◆ omega_hor()

◆ operator=()

◆ psi_comp_import()

◆ radius_hor()

◆ regularisation()

◆ regularise_one()

◆ sauve()

◆ set_aa()

◆ set_aa_auto()

◆ set_aa_comp()

◆ set_beta_auto()

◆ set_der_0x0()

◆ set_mp()

◆ set_n_auto()

◆ set_omega()

◆ set_psi_auto()

◆ set_radius()

◆ viriel_seul()

Member Data Documentation

◆ aa

◆ aa_auto

◆ aa_comp

◆ beta

◆ beta_auto

◆ beta_comp

◆ decouple

◆ dn

◆ dpsi

◆ ff

◆ gamt_point

◆ hh