Metric for tensor calculation. More...

#include <metric.h>

Inheritance diagram for Lorene::Metric:

Public Member Functions
	Metric (const Sym_tensor &tens)
	Standard constructor from a `Sym_tensor` . More...

	Metric (const Metric &met)
	Copy constructor. More...

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

virtual	~Metric ()
	Destructor. More...

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

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

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

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

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

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

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

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

Protected Member Functions
	Metric (const Map &mpi)
	Simplified constructor used by derived classes. 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...

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

Protected Attributes
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...

Friends
class	Tensor

ostream &	operator<< (ostream &, const Metric &)
	Display. More...

Detailed Description

Metric for tensor calculation.

()

Definition at line 90 of file metric.h.

Constructor & Destructor Documentation

◆ Metric() [1/4]

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

explicit

Standard constructor from a Sym_tensor .

The symmetric tensor can be either the covariant or the contravariant representation of the metric.

Definition at line 107 of file metric.C.

References Lorene::Tensor::get_index_type(), p_met_con, p_met_cov, set_der_0x0(), and set_tensor_depend_0x0().

◆ Metric() [2/4]

Lorene::Metric::Metric ( const Metric & met )

Copy constructor.

Definition at line 128 of file metric.C.

References p_met_con, p_met_cov, set_der_0x0(), and set_tensor_depend_0x0().

◆ Metric() [3/4]

Lorene::Metric::Metric	(	const Map &	mpi,
		FILE *
	)

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

Definition at line 141 of file metric.C.

◆ Metric() [4/4]

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

explicitprotected

Simplified constructor used by derived classes.

Definition at line 150 of file metric.C.

References set_der_0x0(), and set_tensor_depend_0x0().

◆ ~Metric()

Lorene::Metric::~Metric ( )

virtual

Destructor.

Definition at line 163 of file metric.C.

References del_deriv(), del_tensor_depend(), p_met_con, and p_met_cov.

Member Function Documentation

◆ con()

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

virtual

Read-only access to the contravariant representation.

Reimplemented in Lorene::Metric_flat.

Definition at line 293 of file metric.C.

References Lorene::Sym_tensor::inverse(), p_met_con, and p_met_cov.

◆ connect()

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

virtual

Returns the connection.

Reimplemented in Lorene::Metric_flat.

Definition at line 304 of file metric.C.

References Lorene::Map::flat_met_cart(), Lorene::Map::flat_met_spher(), Lorene::Tensor::get_triad(), mp, p_connect, p_met_con, and p_met_cov.

◆ cov()

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

virtual

Read-only access to the covariant representation.

Reimplemented in Lorene::Metric_flat.

Definition at line 283 of file metric.C.

References Lorene::Sym_tensor::inverse(), p_met_con, and p_met_cov.

◆ del_deriv()

void Lorene::Metric::del_deriv ( ) const

protected

Deletes all the derived quantities.

Definition at line 179 of file metric.C.

References p_connect, p_determinant, p_radial_vect, p_ricci_scal, and set_der_0x0().

◆ del_tensor_depend()

void Lorene::Metric::del_tensor_depend ( ) const

protected

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(), set_tensor_depend_0x0(), and tensor_depend.

◆ determinant()

const Scalar & Lorene::Metric::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 in Lorene::Metric_flat.

Definition at line 395 of file metric.C.

References cov(), mp, and p_determinant.

◆ get_mp()

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

inline

Returns the mapping.

Definition at line 202 of file metric.h.

References mp.

◆ operator=() [1/2]

void Lorene::Metric::operator= ( const Metric & met )

Assignment to another Metric.

Definition at line 223 of file metric.C.

References del_deriv(), mp, p_met_con, and p_met_cov.

◆ operator=() [2/2]

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

virtual

Assignment from a Sym_tensor .

The allocated representation depends on the type of the input tensor indices. All the other members are deleted.

Reimplemented in Lorene::Metric_flat.

Definition at line 249 of file metric.C.

References del_deriv(), Lorene::Tensor::get_index_type(), Lorene::Tensor::get_mp(), mp, p_met_con, and p_met_cov.

◆ operator>>()

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

protectedvirtual

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

Reimplemented in Lorene::Metric_flat.

Definition at line 449 of file metric.C.

References p_connect, p_determinant, p_met_con, p_met_cov, and p_ricci_scal.

◆ radial_vect()

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

virtual

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

Definition at line 365 of file metric.C.

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

◆ ricci()

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

Returns the Ricci tensor (given by the Connection
p_connect )

Definition at line 341 of file metric.C.

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

◆ ricci_scal()

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

virtual

Returns the Ricci scalar.

Reimplemented in Lorene::Metric_flat.

Definition at line 353 of file metric.C.

References p_ricci_scal, and ricci().

◆ sauve()

void Lorene::Metric::sauve ( FILE * fd ) const

virtual

Save in a file.

Reimplemented in Lorene::Metric_flat.

Definition at line 417 of file metric.C.

References Lorene::fwrite_be(), p_met_con, p_met_cov, and Lorene::Tensor_sym::sauve().

◆ set_der_0x0()

void Lorene::Metric::set_der_0x0 ( ) const

protected

Sets to 0x0 all the pointers on derived quantities.

Definition at line 191 of file metric.C.

References p_connect, p_determinant, p_radial_vect, and p_ricci_scal.

◆ set_tensor_depend_0x0()

void Lorene::Metric::set_tensor_depend_0x0 ( ) const

protected

Sets all elements of tensor_depend to 0x0.

Definition at line 211 of file metric.C.

References tensor_depend.

Friends And Related Function Documentation

◆ operator<<

ostream& operator<<	(	ostream &	ost,
		const Metric &	meti
	)

friend

Display.

Definition at line 442 of file metric.C.

Member Data Documentation

◆ mp

const Map* const Lorene::Metric::mp

protected

Reference mapping.

Definition at line 95 of file metric.h.

◆ p_connect

Connection* Lorene::Metric::p_connect

mutableprotected

Connection associated with the metric.

Definition at line 112 of file metric.h.

◆ p_determinant

Scalar* Lorene::Metric::p_determinant

mutableprotected

Pointer on the determinant.

Definition at line 132 of file metric.h.

◆ p_met_con

Sym_tensor* Lorene::Metric::p_met_con

mutableprotected

Pointer on the covariant representation.

Definition at line 105 of file metric.h.

◆ p_met_cov

Sym_tensor* Lorene::Metric::p_met_cov

mutableprotected

Pointer on the contravariant representation.

Definition at line 100 of file metric.h.

◆ p_radial_vect

Vector* Lorene::Metric::p_radial_vect

mutableprotected

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

mutableprotected

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]

mutableprotected

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.

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

Public Member Functions

Protected Member Functions

Protected Attributes

Friends

Detailed Description

Constructor & Destructor Documentation

◆ Metric() [1/4]

◆ Metric() [2/4]

◆ Metric() [3/4]

◆ Metric() [4/4]

◆ ~Metric()

Member Function Documentation

◆ con()

◆ connect()

◆ cov()

◆ del_deriv()

◆ del_tensor_depend()

◆ determinant()

◆ get_mp()

◆ operator=() [1/2]

◆ operator=() [2/2]

◆ operator>>()

◆ radial_vect()

◆ ricci()

◆ ricci_scal()

◆ sauve()

◆ set_der_0x0()

◆ set_tensor_depend_0x0()

Friends And Related Function Documentation

◆ operator<<

Member Data Documentation

◆ mp

◆ p_connect

◆ p_determinant

◆ p_met_con

◆ p_met_cov

◆ p_radial_vect

◆ p_ricci_scal

◆ tensor_depend