Flat metric for tensor calculation. More...

#include <metric.h>

Inheritance diagram for Lorene::Metric_flat:

Public Member Functions
	Metric_flat (const Map &, const Base_vect &)
	Standard constructor. More...

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

	Metric_flat (const Map &, FILE *)
	Constructor from a file (see `sauve(FILE*)` ) More...

virtual	~Metric_flat ()
	Destructor. More...

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

virtual void	operator= (const Sym_tensor &tens)
	Assignment from a `Sym_tensor` . More...

const Base_vect *	get_triad () const
	Returns the vectorial basis (triad) on which the metric is defined. More...

virtual const Sym_tensor &	cov () const
	Read-only access to the covariant representation. More...

virtual const Sym_tensor &	con () const
	Read-only access to the contravariant representation. More...

virtual const Connection &	connect () const
	Returns the connection. More...

virtual const Scalar &	ricci_scal () const
	Returns the Ricci scalar. More...

virtual const Scalar &	determinant () const
	Returns the determinant. More...

virtual void	sauve (FILE *) const
	Save in a file. More...

const Map &	get_mp () const
	Returns the mapping. More...

const Sym_tensor &	ricci () const
	Returns the Ricci tensor (given by the `Connection` `p_connect` ) More...

virtual const Vector &	radial_vect () const
	Returns the radial vector normal to a spherical slicing and pointing toward spatial infinity. More...

Protected Member Functions
virtual ostream &	operator>> (ostream &) const
	Operator >> (virtual function called by the operator <<). More...

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...

void	del_tensor_depend () const
	Deletes all the derivative members of the `Tensor` contained in `tensor_depend` . More...

void	set_tensor_depend_0x0 () const
	Sets all elements of `tensor_depend` to 0x0. More...

Protected Attributes
const Base_vect *	triad
	Vectorial basis (triad) with respect to which the components of the flat metric are defined. More...

const Map *const	mp
	Reference mapping. More...

Sym_tensor *	p_met_cov
	Pointer on the contravariant representation. More...

Sym_tensor *	p_met_con
	Pointer on the covariant representation. More...

Connection *	p_connect
	Connection associated with the metric. More...

Scalar *	p_ricci_scal
	Pointer on the Ricci scalar. More...

Vector *	p_radial_vect
	Pointer to the radial vector normal to a spherical slicing and pointing toward spatial infinity. More...

Scalar *	p_determinant
	Pointer on the determinant. More...

const Tensor *	tensor_depend [N_TENSOR_DEPEND]
	Pointer on the dependancies, that means the array contains pointers on all the `Tensor` whom derivative members have been calculated using `*this` . More...

Detailed Description

Flat metric for tensor calculation.

()

Definition at line 261 of file metric.h.

Constructor & Destructor Documentation

◆ Metric_flat() [1/3]

Lorene::Metric_flat::Metric_flat	(	const Map &	mpi,
		const Base_vect &	triadi
	)

Standard constructor.

Standard constructor from a mapping and a triad.

Definition at line 79 of file metric_flat.C.

References cov().

◆ Metric_flat() [2/3]

Lorene::Metric_flat::Metric_flat ( const Metric_flat & meti )

Copy constructor.

Definition at line 88 of file metric_flat.C.

◆ Metric_flat() [3/3]

Lorene::Metric_flat::Metric_flat	(	const Map &	mpi,
		FILE *	fd
	)

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

Definition at line 94 of file metric_flat.C.

◆ ~Metric_flat()

Lorene::Metric_flat::~Metric_flat ( )

virtual

Destructor.

Definition at line 106 of file metric_flat.C.

Member Function Documentation

◆ con()

const Sym_tensor & Lorene::Metric_flat::con ( ) const

virtual

Read-only access to the contravariant representation.

Reimplemented from Lorene::Metric.

Definition at line 156 of file metric_flat.C.

References Lorene::Metric::mp, Lorene::Metric::p_met_con, Lorene::Tensor::set(), Lorene::Tensor::std_spectral_base(), and triad.

◆ connect()

const Connection & Lorene::Metric_flat::connect ( ) const

virtual

Returns the connection.

Reimplemented from Lorene::Metric.

Definition at line 178 of file metric_flat.C.

References Lorene::Metric::mp, Lorene::Metric::p_connect, and triad.

◆ cov()

const Sym_tensor & Lorene::Metric_flat::cov ( ) const

virtual

Read-only access to the covariant representation.

Reimplemented from Lorene::Metric.

Definition at line 137 of file metric_flat.C.

References Lorene::Metric::mp, Lorene::Metric::p_met_cov, Lorene::Tensor::set(), Lorene::Tensor::std_spectral_base(), and triad.

◆ del_deriv()

void Lorene::Metric::del_deriv ( ) const

protectedinherited

Deletes all the derived quantities.

Definition at line 179 of file metric.C.

References Lorene::Metric::p_connect, Lorene::Metric::p_determinant, Lorene::Metric::p_radial_vect, Lorene::Metric::p_ricci_scal, and Lorene::Metric::set_der_0x0().

◆ del_tensor_depend()

void Lorene::Metric::del_tensor_depend ( ) const

protectedinherited

Deletes all the derivative members of the Tensor contained in tensor_depend .

Those quantities had been previously calculated using *this .

Definition at line 200 of file metric.C.

References Lorene::Tensor::del_derive_met(), Lorene::Tensor::get_place_met(), Lorene::Metric::set_tensor_depend_0x0(), and Lorene::Metric::tensor_depend.

◆ determinant()

const Scalar & Lorene::Metric_flat::determinant ( ) const

virtual

Returns the determinant.

This determinant is stored as a Scalar although it a scalar density. To be a real scalar it must be divided by e.g. the determinant of a flat metric.

Reimplemented from Lorene::Metric.

Definition at line 217 of file metric_flat.C.

References Lorene::Metric::mp, Lorene::Metric::p_determinant, and Lorene::Scalar::set_etat_one().

◆ get_mp()

const Map& Lorene::Metric::get_mp ( ) const

inlineinherited

Returns the mapping.

Definition at line 202 of file metric.h.

References Lorene::Metric::mp.

◆ get_triad()

const Base_vect* Lorene::Metric_flat::get_triad ( ) const

inline

Returns the vectorial basis (triad) on which the metric is defined.

Definition at line 309 of file metric.h.

References triad.

◆ operator=() [1/2]

void Lorene::Metric_flat::operator= ( const Metric_flat & meti )

Assignment to another Metric_flat.

Definition at line 115 of file metric_flat.C.

References Lorene::Metric::operator=(), and triad.

◆ operator=() [2/2]

void Lorene::Metric_flat::operator= ( const Sym_tensor & tens )

virtual

Assignment from a Sym_tensor .

In principle, this method should not be used for a Metric_flat .

Reimplemented from Lorene::Metric.

Definition at line 122 of file metric_flat.C.

◆ operator>>()

ostream & Lorene::Metric_flat::operator>> ( ostream & ost ) const

protectedvirtual

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

Reimplemented from Lorene::Metric.

Definition at line 244 of file metric_flat.C.

References triad.

◆ radial_vect()

const Vector & Lorene::Metric::radial_vect ( ) const

virtualinherited

Returns the radial vector normal to a spherical slicing and pointing toward spatial infinity.

Definition at line 365 of file metric.C.

References Lorene::Metric::p_radial_vect, Lorene::Vector::set(), Lorene::sqrt(), and Lorene::Scalar::std_spectral_base().

◆ ricci()

const Sym_tensor & Lorene::Metric::ricci ( ) const

inherited

Returns the Ricci tensor (given by the Connection
p_connect )

Definition at line 341 of file metric.C.

References Lorene::Metric::connect(), and Lorene::Connection::ricci().

◆ ricci_scal()

const Scalar & Lorene::Metric_flat::ricci_scal ( ) const

virtual

Returns the Ricci scalar.

Reimplemented from Lorene::Metric.

Definition at line 204 of file metric_flat.C.

References Lorene::Metric::mp, Lorene::Metric::p_ricci_scal, and Lorene::Scalar::set_etat_zero().

◆ sauve()

void Lorene::Metric_flat::sauve ( FILE * ) const

virtual

Save in a file.

Reimplemented from Lorene::Metric.

Definition at line 234 of file metric_flat.C.

◆ set_der_0x0()

void Lorene::Metric::set_der_0x0 ( ) const

protectedinherited

Sets to 0x0 all the pointers on derived quantities.

Definition at line 191 of file metric.C.

References Lorene::Metric::p_connect, Lorene::Metric::p_determinant, Lorene::Metric::p_radial_vect, and Lorene::Metric::p_ricci_scal.

◆ set_tensor_depend_0x0()

void Lorene::Metric::set_tensor_depend_0x0 ( ) const

protectedinherited

Sets all elements of tensor_depend to 0x0.

Definition at line 211 of file metric.C.

References Lorene::Metric::tensor_depend.

Member Data Documentation

◆ mp

const Map* const Lorene::Metric::mp

protectedinherited

Reference mapping.

Definition at line 95 of file metric.h.

◆ p_connect

Connection* Lorene::Metric::p_connect

mutableprotectedinherited

Connection associated with the metric.

Definition at line 112 of file metric.h.

◆ p_determinant

Scalar* Lorene::Metric::p_determinant

mutableprotectedinherited

Pointer on the determinant.

Definition at line 132 of file metric.h.

◆ p_met_con

Sym_tensor* Lorene::Metric::p_met_con

mutableprotectedinherited

Pointer on the covariant representation.

Definition at line 105 of file metric.h.

◆ p_met_cov

Sym_tensor* Lorene::Metric::p_met_cov

mutableprotectedinherited

Pointer on the contravariant representation.

Definition at line 100 of file metric.h.

◆ p_radial_vect

Vector* Lorene::Metric::p_radial_vect

mutableprotectedinherited

Pointer to the radial vector normal to a spherical slicing and pointing toward spatial infinity.

Definition at line 125 of file metric.h.

◆ p_ricci_scal

Scalar* Lorene::Metric::p_ricci_scal

mutableprotectedinherited

Pointer on the Ricci scalar.

Remark: the Ricci tensor is stored in the connection (member p_connect->p_ricci ).

Definition at line 119 of file metric.h.

◆ tensor_depend

const Tensor* Lorene::Metric::tensor_depend[N_TENSOR_DEPEND]

mutableprotectedinherited

Pointer on the dependancies, that means the array contains pointers on all the Tensor whom derivative members have been calculated using *this .

Definition at line 139 of file metric.h.

◆ triad

const Base_vect* Lorene::Metric_flat::triad

protected

Vectorial basis (triad) with respect to which the components of the flat metric are defined.

Definition at line 270 of file metric.h.

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

Public Member Functions

Protected Member Functions

Protected Attributes

Detailed Description

Constructor & Destructor Documentation

◆ Metric_flat() [1/3]

◆ Metric_flat() [2/3]

◆ Metric_flat() [3/3]

◆ ~Metric_flat()

Member Function Documentation

◆ con()

◆ connect()

◆ cov()

◆ del_deriv()

◆ del_tensor_depend()

◆ determinant()

◆ get_mp()

◆ get_triad()

◆ operator=() [1/2]

◆ operator=() [2/2]

◆ operator>>()

◆ radial_vect()

◆ ricci()

◆ ricci_scal()

◆ sauve()

◆ set_der_0x0()

◆ set_tensor_depend_0x0()

Member Data Documentation

◆ mp

◆ p_connect

◆ p_determinant

◆ p_met_con

◆ p_met_cov

◆ p_radial_vect

◆ p_ricci_scal

◆ tensor_depend

◆ triad