Metric_flat Class Reference
[Tensorial fields]

Flat metric for tensor calculation. More...

#include <metric.h>

Inheritance diagram for Metric_flat:


Public Member Functions
	Metric_flat (const Map &, const Base_vect &)
	Standard constructor.
	Metric_flat (const Metric_flat &)
	Copy constructor.
	Metric_flat (const Map &, FILE *)
	Constructor from a file (see `sauve(FILE*)` ).
virtual	~Metric_flat ()
	Destructor.
void	operator= (const Metric_flat &)
	Assignment to another Metric_flat.
virtual void	operator= (const Sym_tensor &tens)
	Assignment from a `Sym_tensor` .
const Base_vect *	get_triad () const
	Returns the vectorial basis (triad) on which the metric is defined.
virtual const Sym_tensor &	cov () const
	Read-only access to the covariant representation.
virtual const Sym_tensor &	con () const
	Read-only access to the contravariant representation.
virtual const Connection &	connect () const
	Returns the connection.
virtual const Scalar &	ricci_scal () const
	Returns the Ricci scalar.
virtual const Scalar &	determinant () const
	Returns the determinant.
virtual void	sauve (FILE *) const
	Save in a file.
const Map &	get_mp () const
	Returns the mapping.
const Sym_tensor &	ricci () const
	Returns the Ricci tensor (given by the `Connection` `p_connect` ).
virtual const Vector &	radial_vect () const
	Returns the radial vector normal to a spherical slicing and pointing toward spatial infinity.
Protected Member Functions
virtual ostream &	operator>> (ostream &) const
	Operator >> (virtual function called by the operator <<).
void	del_deriv () const
	Deletes all the derived quantities.
void	set_der_0x0 () const
	Sets to `0x0` all the pointers on derived quantities.
void	del_tensor_depend () const
	Deletes all the derivative members of the `Tensor` contained in `tensor_depend` .
void	set_tensor_depend_0x0 () const
	Sets all elements of `tensor_depend` to 0x0.
Protected Attributes
const Base_vect *	triad
	Vectorial basis (triad) with respect to which the components of the flat metric are defined.
const Map *const	mp
	Reference mapping.
Sym_tensor *	p_met_cov
	Pointer on the contravariant representation.
Sym_tensor *	p_met_con
	Pointer on the covariant representation.
Connection *	p_connect
	Connection associated with the metric.
Scalar *	p_ricci_scal
	Pointer on the Ricci scalar.
Vector *	p_radial_vect
	Pointer to the radial vector normal to a spherical slicing and pointing toward spatial infinity.
Scalar *	p_determinant
	Pointer on the determinant.
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` .
Friends
class	Tensor
ostream &	operator<< (ostream &, const Metric &)
	Display.

Detailed Description

Flat metric for tensor calculation.

()

Definition at line 257 of file metric.h.

Constructor & Destructor Documentation

Metric_flat::Metric_flat ( const Map & ,

const Base_vect &

)

Standard constructor.
Standard constructor from a mapping and a triad.
Definition at line 69 of file metric_flat.C.
References cov().

Metric_flat::Metric_flat ( const Metric_flat & )

Copy constructor.

Definition at line 78 of file metric_flat.C.

Metric_flat::Metric_flat ( const Map & ,

FILE *

)

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

Definition at line 84 of file metric_flat.C.

Metric_flat::~Metric_flat ( ) [virtual]

Destructor.

Definition at line 96 of file metric_flat.C.

Member Function Documentation

const Sym_tensor & Metric_flat::con ( ) const [virtual]

Read-only access to the contravariant representation.

Reimplemented from Metric.
Definition at line 146 of file metric_flat.C.
References Metric::mp, Metric::p_met_con, Tensor::set(), Tensor::std_spectral_base(), and triad.

const Connection & Metric_flat::connect ( ) const [virtual]

Returns the connection.

Reimplemented from Metric.
Definition at line 168 of file metric_flat.C.
References Metric::mp, Metric::p_connect, and triad.

const Sym_tensor & Metric_flat::cov ( ) const [virtual]

Read-only access to the covariant representation.

Reimplemented from Metric.
Definition at line 127 of file metric_flat.C.
References Metric::mp, Metric::p_met_cov, Tensor::set(), Tensor::std_spectral_base(), and triad.

void Metric::del_deriv ( ) const [protected, inherited]

Deletes all the derived quantities.

Definition at line 169 of file metric.C.
References Metric::p_connect, Metric::p_determinant, Metric::p_radial_vect, Metric::p_ricci_scal, and Metric::set_der_0x0().

void Metric::del_tensor_depend ( ) const [protected, inherited]

Deletes all the derivative members of the Tensor contained in tensor_depend .
Those quantities had been previously calculated using *this .
Definition at line 190 of file metric.C.
References Metric::tensor_depend.

const Scalar & 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 Metric.
Definition at line 207 of file metric_flat.C.
References Metric::mp, Metric::p_determinant, and Scalar::set_etat_one().

const Map& Metric::get_mp ( ) const [inline, inherited]

Returns the mapping.

Definition at line 198 of file metric.h.
References Metric::mp.

const Base_vect* Metric_flat::get_triad ( ) const [inline]

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

Definition at line 305 of file metric.h.
References triad.

void 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 Metric.
Definition at line 112 of file metric_flat.C.

void Metric_flat::operator= ( const Metric_flat & )

Assignment to another Metric_flat.

Definition at line 105 of file metric_flat.C.
References Metric::operator=(), and triad.

ostream & Metric_flat::operator>> ( ostream & ) const [protected, virtual]

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

Reimplemented from Metric.
Definition at line 234 of file metric_flat.C.
References triad.

const Vector & Metric::radial_vect ( ) const [virtual, inherited]

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

Definition at line 355 of file metric.C.
References Metric::p_radial_vect, Vector::set(), and sqrt().

const Sym_tensor & Metric::ricci ( ) const [inherited]

Returns the Ricci tensor (given by the Connection p_connect ).

Definition at line 331 of file metric.C.
References Metric::connect(), and Connection::ricci().

const Scalar & Metric_flat::ricci_scal ( ) const [virtual]

Returns the Ricci scalar.

Reimplemented from Metric.
Definition at line 194 of file metric_flat.C.
References Metric::mp, Metric::p_ricci_scal, and Scalar::set_etat_zero().

void Metric_flat::sauve ( FILE * ) const [virtual]

Save in a file.

Reimplemented from Metric.
Definition at line 224 of file metric_flat.C.

void Metric::set_der_0x0 ( ) const [protected, inherited]

Sets to 0x0 all the pointers on derived quantities.

Definition at line 181 of file metric.C.
References Metric::p_connect, Metric::p_determinant, Metric::p_radial_vect, and Metric::p_ricci_scal.

void Metric::set_tensor_depend_0x0 ( ) const [protected, inherited]

Sets all elements of tensor_depend to 0x0.

Definition at line 201 of file metric.C.
References Metric::tensor_depend.

Friends And Related Function Documentation

ostream& operator<< ( ostream & ost,

const Metric & meti

) [friend, inherited]

Display.

Definition at line 432 of file metric.C.

Member Data Documentation

const Map* const Metric::mp [protected, inherited]

Reference mapping.

Definition at line 91 of file metric.h.

Connection* Metric::p_connect [mutable, protected, inherited]

Connection associated with the metric.

Definition at line 108 of file metric.h.

Scalar* Metric::p_determinant [mutable, protected, inherited]

Pointer on the determinant.

Definition at line 128 of file metric.h.

Sym_tensor* Metric::p_met_con [mutable, protected, inherited]

Pointer on the covariant representation.

Definition at line 101 of file metric.h.

Sym_tensor* Metric::p_met_cov [mutable, protected, inherited]

Pointer on the contravariant representation.

Definition at line 96 of file metric.h.

Vector* Metric::p_radial_vect [mutable, protected, inherited]

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

Definition at line 121 of file metric.h.

Scalar* Metric::p_ricci_scal [mutable, protected, inherited]

Pointer on the Ricci scalar.
Remark: the Ricci tensor is stored in the connection (member p_connect->p_ricci ).
Definition at line 115 of file metric.h.

const Tensor* Metric::tensor_depend[N_TENSOR_DEPEND] [mutable, protected, inherited]

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 135 of file metric.h.

const Base_vect* Metric_flat::triad [protected]

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

Definition at line 266 of file metric.h.

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

Generated on Tue Feb 9 01:35:22 2010 for LORENE by

1.4.6

Metric_flat Class Reference [Tensorial fields]

Public Member Functions

Protected Member Functions