Class to deal with a metric in the spatial harmonic gauge. More...

#include <metric.hpp>

Inheritance diagram for Kadath::Metric_harmonic:

Public Member Functions
	Metric_harmonic (Metric_tensor &)
	Constructor from a `Metric_tensor`. More...

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

const Metric_flat &	get_fmet () const

virtual Term_eq	derive (int, char, const Term_eq &) const
	Computes the covariant derivative of a `Term_eq` (assumes Cartesian basis of decomposition). More...

virtual void	set_system (System_of_eqs &syst, const char *name)
	Associate the metric to a given system of equations. More...

virtual Term_eq	derive_flat (int, char, const Term_eq &) const
	Computes the covariant flat derivative of a `Term_eq`. More...

virtual int	give_type (int) const
	Returns the type of tensorial basis of the covariant representation, in a given `Domain`. More...

virtual void	update ()
	Updates the derived quantities (Christoffels etc..) This is done only for the ones that are needed, i.e. More...

virtual void	update (int dd)
	Updates the derived quantities (Christoffels etc..) in a given `Domain` This is done only for the ones that are needed, i.e. More...

virtual void	manipulate_ind (Term_eq &so, int ind) const
	Uses the `Metric` to manipulate one of the index of a `Term_eq` (i.e. More...

virtual Term_eq	derive_partial (int typeder, char nameder, const Term_eq &so) const
	Computes the partial derivative of a `Term_eq` (assumes Cartesian basis of decomposition). More...

virtual const Metric *	get_background () const
	Returns a pointer on the background metric, if it exists. More...

const Term_eq *	give_term (int typemet, int dd) const
	Gives one representation of the metric, in a `Domain`. More...

const Term_eq *	give_christo (int dd) const
	Gives the Christoffel symbols, in a `Domain`. More...

const Term_eq *	give_riemann (int dd) const
	Gives the Riemann tensor, in a `Domain`. More...

const Term_eq *	give_ricci_tensor (int dd) const
	Gives the Ricci tensor, in a `Domain`. More...

const Term_eq *	give_ricci_scalar (int dd) const
	Gives the Ricci scalar, in a `Domain`. More...

const Term_eq *	give_dirac (int dd) const
	Gives the potential of the Dirac gauge, in a `Domain`. More...

const Term_eq *	give_det_cov (int dd) const
	Gives the determinant of the covariant metric, in a `Domain`. More...

Protected Member Functions
virtual void	compute_ricci_tensor (int) const
	Computes the Ricci tensor, in a given `Domain`. More...

virtual void	compute_ricci_scalar (int) const
	Computes the Ricci scalar, in a given `Domain`. More...

virtual void	compute_det_cov (int) const
	Computes the determinant of the covariant representation, in a given `Domain`. More...

virtual void	compute_con (int) const
	Computes the contravariant representation, in a given `Domain`. More...

virtual void	compute_cov (int) const
	Computes the covariant representation, in a given `Domain`. More...

virtual void	compute_christo (int) const
	Computes the Christoffel symbols, in a given `Domain`. More...

virtual void	compute_riemann (int) const
	Computes the Riemann tensor, in a given `Domain`. More...

virtual void	compute_dirac (int) const
	Computes the Dirac gauge term, in a given `Domain`. More...

Protected Attributes
Metric_tensor *	p_met
	Pointer on the `Metric_tensor` describing the metric. More...

const Base_tensor &	basis
	The tensorial basis used. More...

Metric_flat	fmet
	Associated flat metric. More...

int	place_syst
	Gives the location of the metric amongst the various unknowns of the associated `System_of_eqs`. More...

const Space &	espace
	The associated `Space`. More...

const System_of_eqs *	syst
	Pointer of the system of equations where the metric is used (only one for now). More...

MMPtr_array< Term_eq >	p_met_cov
	Array of pointers on various `Term_eq`. More...

MMPtr_array< Term_eq >	p_met_con
	Array of pointers on various `Term_eq`. More...

MMPtr_array< Term_eq >	p_christo
	Array of pointers on various `Term_eq`. More...

MMPtr_array< Term_eq >	p_riemann
	Array of pointers on various `Term_eq`. More...

MMPtr_array< Term_eq >	p_ricci_tensor
	Array of pointers on various `Term_eq`. More...

MMPtr_array< Term_eq >	p_ricci_scalar
	Array of pointers on various `Term_eq`. More...

MMPtr_array< Term_eq >	p_dirac
	Array of pointers on various `Term_eq`. More...

MMPtr_array< Term_eq >	p_det_cov
	Array of pointers on various `Term_eq`. More...

int	type_tensor
	States if one works in the CON or COV representation. More...

Detailed Description

Class to deal with a metric in the spatial harmonic gauge.

The gauge not enforced at this level but only assumed to be verified. It has to be part of the equations solved for things to be consistent.

Definition at line 535 of file metric.hpp.

Constructor & Destructor Documentation

◆ Metric_harmonic() [1/2]

Kadath::Metric_harmonic::Metric_harmonic ( Metric_tensor & met )

Constructor from a Metric_tensor.

Definition at line 29 of file metric_harmonic.cpp.

References Kadath::Metric_tensor::get_type(), and Kadath::Metric::type_tensor.

◆ Metric_harmonic() [2/2]

Kadath::Metric_harmonic::Metric_harmonic ( const Metric_harmonic & so )

Copy constructor.

Definition at line 34 of file metric_harmonic.cpp.

Member Function Documentation

◆ compute_christo()

void Kadath::Metric_general::compute_christo ( int dd ) const

protectedvirtualinherited

Computes the Christoffel symbols, in a given Domain.

Reimplemented from Kadath::Metric.

Definition at line 428 of file metric_general.cpp.

References Kadath::Metric_general::basis, Kadath::Metric_general::compute_con(), Kadath::Metric_general::compute_cov(), Kadath::Term_eq::der_t, Kadath::Metric_flat::derive(), Kadath::Metric::espace, Kadath::Metric_general::fmet, Kadath::Space::get_domain(), Kadath::Space::get_ndim(), Kadath::Index::inc(), Kadath::Metric::p_christo, Kadath::Metric::p_met_con, Kadath::Metric::p_met_cov, Kadath::Tensor::set(), Kadath::Array< T >::set(), Kadath::Scalar::set_domain(), Kadath::Metric::type_tensor, and Kadath::Term_eq::val_t.

◆ compute_con()

void Kadath::Metric_general::compute_con ( int ) const

protectedvirtualinherited

Computes the contravariant representation, in a given Domain.

Reimplemented from Kadath::Metric.

Reimplemented in Kadath::Metric_const.

Definition at line 238 of file metric_general.cpp.

References Kadath::Metric_general::basis, Kadath::System_of_eqs::dom_min, Kadath::Metric::espace, Kadath::Term_eq::get_der_t(), Kadath::Space::get_domain(), Kadath::Tensor::get_n_comp(), Kadath::Space::get_ndim(), Kadath::Term_eq::get_val_t(), Kadath::Metric_general::p_met, Kadath::Metric::p_met_con, Kadath::Metric_general::place_syst, Kadath::Tensor::set(), Kadath::Scalar::set_domain(), Kadath::Metric::syst, Kadath::System_of_eqs::term, and Kadath::Metric::type_tensor.

◆ compute_cov()

void Kadath::Metric_general::compute_cov ( int ) const

protectedvirtualinherited

Computes the covariant representation, in a given Domain.

Reimplemented from Kadath::Metric.

Reimplemented in Kadath::Metric_const.

Definition at line 49 of file metric_general.cpp.

References Kadath::Metric_general::basis, Kadath::System_of_eqs::dom_min, Kadath::Metric::espace, Kadath::Term_eq::get_der_t(), Kadath::Space::get_domain(), Kadath::Tensor::get_n_comp(), Kadath::Space::get_ndim(), Kadath::Term_eq::get_val_t(), Kadath::Metric_general::p_met, Kadath::Metric::p_met_cov, Kadath::Metric_general::place_syst, Kadath::Tensor::set(), Kadath::Scalar::set_domain(), Kadath::Metric::syst, Kadath::System_of_eqs::term, and Kadath::Metric::type_tensor.

◆ compute_det_cov()

void Kadath::Metric_harmonic::compute_det_cov ( int ) const

protectedvirtual

Computes the determinant of the covariant representation, in a given Domain.

Reimplemented from Kadath::Metric.

Definition at line 41 of file metric_harmonic.cpp.

References Kadath::Metric_general::compute_cov(), Kadath::Metric::espace, Kadath::Space::get_domain(), Kadath::Space::get_ndim(), Kadath::Metric::p_det_cov, Kadath::Metric::p_met_cov, and Kadath::Scalar::set_domain().

◆ compute_dirac()

void Kadath::Metric_general::compute_dirac ( int ) const

protectedvirtualinherited

Computes the Dirac gauge term, in a given Domain.

Reimplemented from Kadath::Metric.

Definition at line 756 of file metric_general.cpp.

References Kadath::Metric_general::basis, Kadath::Metric_general::compute_con(), Kadath::Term_eq::der_t, Kadath::Metric_flat::derive(), Kadath::Metric::espace, Kadath::Metric_general::fmet, Kadath::Space::get_domain(), Kadath::Space::get_ndim(), Kadath::Index::inc(), Kadath::Metric::p_dirac, Kadath::Metric::p_met_con, Kadath::Tensor::set(), Kadath::Scalar::set_domain(), and Kadath::Term_eq::val_t.

◆ compute_ricci_scalar()

void Kadath::Metric_harmonic::compute_ricci_scalar ( int dd ) const

protectedvirtual

Computes the Ricci scalar, in a given Domain.

Reimplemented from Kadath::Metric.

Definition at line 209 of file metric_harmonic.cpp.

References Kadath::Metric_general::compute_con(), compute_ricci_tensor(), Kadath::Metric::espace, Kadath::Space::get_domain(), Kadath::Space::get_ndim(), Kadath::Metric::p_met_con, Kadath::Metric::p_ricci_scalar, Kadath::Metric::p_ricci_tensor, and Kadath::Scalar::set_domain().

◆ compute_ricci_tensor()

void Kadath::Metric_harmonic::compute_ricci_tensor ( int dd ) const

protectedvirtual

Computes the Ricci tensor, in a given Domain.

Reimplemented from Kadath::Metric_general.

Definition at line 107 of file metric_harmonic.cpp.

References Kadath::Metric_general::basis, Kadath::Metric_general::compute_christo(), compute_det_cov(), Kadath::Metric_general::compute_dirac(), Kadath::Term_eq::der_t, Kadath::Metric_flat::derive(), Kadath::Metric::espace, Kadath::Metric_general::fmet, Kadath::Space::get_domain(), Kadath::Space::get_ndim(), Kadath::Index::inc(), Kadath::Metric::p_christo, Kadath::Metric::p_det_cov, Kadath::Metric::p_dirac, Kadath::Metric::p_met_con, Kadath::Metric::p_met_cov, Kadath::Metric::p_ricci_tensor, Kadath::Tensor::set(), Kadath::Scalar::set_domain(), and Kadath::Term_eq::val_t.

◆ compute_riemann()

void Kadath::Metric_general::compute_riemann ( int dd ) const

protectedvirtualinherited

Computes the Riemann tensor, in a given Domain.

Reimplemented from Kadath::Metric.

Definition at line 493 of file metric_general.cpp.

References Kadath::Metric_general::basis, Kadath::Metric_general::compute_christo(), Kadath::Term_eq::der_t, Kadath::Metric_flat::derive(), Kadath::Metric::espace, Kadath::Metric_general::fmet, Kadath::Space::get_ndim(), Kadath::Index::inc(), Kadath::Metric::p_christo, Kadath::Metric::p_riemann, Kadath::Tensor::set(), Kadath::Array< T >::set(), Kadath::Scalar::set_domain(), and Kadath::Term_eq::val_t.

◆ derive()

Term_eq Kadath::Metric_general::derive	(	int	typeder,
		char	nameder,
		const Term_eq &	so
	)		const

virtualinherited

Computes the covariant derivative of a Term_eq (assumes Cartesian basis of decomposition).

The index corresponding to the derivation is given a name. If need be inner summation is performed.

Parameters

typeder	: the result is either or
nameder	: the name given as the derivation index.
so	: the `Term_eq` to be derived.

Returns: : the covariant derivative.

Reimplemented from Kadath::Metric.

Definition at line 632 of file metric_general.cpp.

◆ derive_flat()

Term_eq Kadath::Metric_general::derive_flat	(	int	typeder,
		char	nameder,
		const Term_eq &	so
	)		const

virtualinherited

Computes the covariant flat derivative of a Term_eq.

The index corresponding to the derivation is given a name. If need be inner summation is performed.

Parameters

typeder	: the result is either $\bar{D}_i$ or $\bar{D}^i$
nameder	: the name given as the derivation index.
so	: the `Term_eq` to be derived.

Returns: : the covariant flat derivative.

Reimplemented from Kadath::Metric.

Definition at line 617 of file metric_general.cpp.

References Kadath::Metric_general::compute_con(), Kadath::Metric_general::compute_cov(), Kadath::Metric_flat::derive_with_other(), Kadath::Metric_general::fmet, Kadath::Term_eq::get_dom(), Kadath::Metric::p_met_con, and Kadath::Metric::p_met_cov.

◆ derive_partial()

Term_eq Kadath::Metric::derive_partial	(	int	typeder,
		char	nameder,
		const Term_eq &	so
	)		const

virtualinherited

Computes the partial derivative of a Term_eq (assumes Cartesian basis of decomposition).

The index corresponding to the derivation is given a name. If need be inner summation is performed.

Parameters

typeder	: the result is either $\partial_i$ or $\partial^i$
nameder	: the name given as the derivation index.
so	: the `Term_eq` to be derived.

Returns: : the derivative.

Reimplemented in Kadath::Metric_flat_nophi, and Kadath::Metric_flat.

Definition at line 172 of file metric.cpp.

References Kadath::Metric::compute_con(), Kadath::Metric::compute_cov(), Kadath::Term_eq::der_t, Kadath::Tensor::do_summation_one_dom(), Kadath::Metric::espace, Kadath::Tensor::get_basis(), Kadath::Base_tensor::get_basis(), Kadath::Term_eq::get_dom(), Kadath::Tensor::get_index_type(), Kadath::Tensor::get_name_ind(), Kadath::Term_eq::get_type_data(), Kadath::Tensor::get_valence(), Kadath::Index::inc(), Kadath::Tensor::is_name_affected(), Kadath::Metric::manipulate_ind(), Kadath::Metric::p_met_con, Kadath::Metric::p_met_cov, Kadath::Tensor::set(), Kadath::Array< T >::set(), Kadath::Index::set(), Kadath::Scalar::set_domain(), Kadath::Tensor::set_name_affected(), Kadath::Tensor::set_name_ind(), Kadath::Metric::type_tensor, and Kadath::Term_eq::val_t.

◆ get_background()

const Metric * Kadath::Metric::get_background ( ) const

virtualinherited

Returns a pointer on the background metric, if it exists.

Reimplemented in Kadath::Metric_AADS.

Definition at line 167 of file metric.cpp.

◆ get_fmet()

const Metric_flat& Kadath::Metric_harmonic::get_fmet ( ) const

inline

Returns: : the associated flat metric.

Definition at line 543 of file metric.hpp.

References Kadath::Metric_general::fmet.

◆ give_christo()

const Term_eq * Kadath::Metric::give_christo ( int dd ) const

inherited

Gives the Christoffel symbols, in a Domain.

This is the Term_eq version.

Parameters

dd	: in which `Domain`.

Returns: : pointer on the result (being a Term_eq).

Definition at line 124 of file metric.cpp.

References Kadath::Metric::compute_christo(), Kadath::Metric::espace, Kadath::Space::get_nbr_domains(), and Kadath::Metric::p_christo.

◆ give_det_cov()

const Term_eq * Kadath::Metric::give_det_cov ( int dd ) const

inherited

Gives the determinant of the covariant metric, in a Domain.

This is the Term_eq version.

Parameters

dd	: in which `Domain`.

Returns: : pointer on the result (being a Term_eq).

Definition at line 159 of file metric.cpp.

References Kadath::Metric::compute_det_cov(), Kadath::Metric::espace, Kadath::Space::get_nbr_domains(), and Kadath::Metric::p_det_cov.

◆ give_dirac()

const Term_eq * Kadath::Metric::give_dirac ( int dd ) const

inherited

Gives the potential of the Dirac gauge, in a Domain.

This is the Term_eq version.

Parameters

dd	: in which `Domain`.

Returns: : pointer on the result (being a Term_eq).

Definition at line 152 of file metric.cpp.

References Kadath::Metric::compute_dirac(), Kadath::Metric::espace, Kadath::Space::get_nbr_domains(), and Kadath::Metric::p_dirac.

◆ give_ricci_scalar()

const Term_eq * Kadath::Metric::give_ricci_scalar ( int dd ) const

inherited

Gives the Ricci scalar, in a Domain.

This is the Term_eq version.

Parameters

dd	: in which `Domain`.

Returns: : pointer on the result (being a Term_eq).

Definition at line 145 of file metric.cpp.

References Kadath::Metric::compute_ricci_scalar(), Kadath::Metric::espace, Kadath::Space::get_nbr_domains(), and Kadath::Metric::p_ricci_scalar.

◆ give_ricci_tensor()

const Term_eq * Kadath::Metric::give_ricci_tensor ( int dd ) const

inherited

Gives the Ricci tensor, in a Domain.

This is the Term_eq version.

Parameters

dd	: in which `Domain`.

Returns: : pointer on the result (being a Term_eq).

Definition at line 138 of file metric.cpp.

References Kadath::Metric::compute_ricci_tensor(), Kadath::Metric::espace, Kadath::Space::get_nbr_domains(), and Kadath::Metric::p_ricci_tensor.

◆ give_riemann()

const Term_eq * Kadath::Metric::give_riemann ( int dd ) const

inherited

Gives the Riemann tensor, in a Domain.

This is the Term_eq version.

Parameters

dd	: in which `Domain`.

Returns: : pointer on the result (being a Term_eq).

Definition at line 131 of file metric.cpp.

References Kadath::Metric::compute_riemann(), Kadath::Metric::espace, Kadath::Space::get_nbr_domains(), and Kadath::Metric::p_riemann.

◆ give_term()

const Term_eq * Kadath::Metric::give_term	(	int	typemet,
		int	dd
	)		const

inherited

Gives one representation of the metric, in a Domain.

This is the Term_eq version.

Parameters

typemet	: CON or COV.
dd	: in which `Domain`.

Returns: : pointer on the result (being a Term_eq).

Definition at line 103 of file metric.cpp.

References Kadath::Metric::compute_con(), Kadath::Metric::compute_cov(), Kadath::Metric::espace, Kadath::Space::get_nbr_domains(), Kadath::Metric::p_met_con, and Kadath::Metric::p_met_cov.

◆ give_type()

int Kadath::Metric_general::give_type ( int dd ) const

virtualinherited

Returns the type of tensorial basis of the covariant representation, in a given Domain.

Reimplemented from Kadath::Metric.

Definition at line 43 of file metric_general.cpp.

References Kadath::Metric_general::basis, and Kadath::Base_tensor::get_basis().

◆ manipulate_ind()

void Kadath::Metric::manipulate_ind	(	Term_eq &	so,
		int	ind
	)		const

virtualinherited

Uses the Metric to manipulate one of the index of a Term_eq (i.e.

moves the index up or down)

Parameters

so	: the `Term_eq` to be manipulated.
ind	: index number.

Reimplemented in Kadath::Metric_AADS, Kadath::Metric_ADS, Kadath::Metric_flat_nophi, and Kadath::Metric_flat.

Definition at line 645 of file metric.cpp.

References Kadath::Metric::compute_con(), Kadath::Metric::compute_cov(), Kadath::Term_eq::der_t, Kadath::Metric::espace, Kadath::Term_eq::get_der_t(), Kadath::Term_eq::get_dom(), Kadath::Space::get_domain(), Kadath::Tensor::get_index_type(), Kadath::Tensor::get_name_ind(), Kadath::Space::get_ndim(), Kadath::Term_eq::get_val_t(), Kadath::Tensor::get_valence(), Kadath::Index::inc(), Kadath::Tensor::is_name_affected(), Kadath::Metric::p_met_con, Kadath::Metric::p_met_cov, Kadath::Tensor::set(), Kadath::Array< T >::set(), Kadath::Index::set(), Kadath::Term_eq::set_der_t(), Kadath::Scalar::set_domain(), Kadath::Tensor::set_name_affected(), Kadath::Tensor::set_name_ind(), Kadath::Term_eq::set_val_t(), Kadath::Metric::type_tensor, and Kadath::Term_eq::val_t.

◆ set_system()

void Kadath::Metric_general::set_system	(	System_of_eqs &	syst,
		const char *	name
	)

virtualinherited

Associate the metric to a given system of equations.

Parameters

syst	: the `System_of_eqs`.
name	: name by which the metric will be known in the system (like "g", "f"...)

Reimplemented in Kadath::Metric_const.

Definition at line 802 of file metric_general.cpp.

References Kadath::System_of_eqs::add_var(), Kadath::System_of_eqs::met, Kadath::System_of_eqs::name_met, Kadath::System_of_eqs::ndom, Kadath::System_of_eqs::nvar, Kadath::Metric_general::p_met, Kadath::Metric_general::place_syst, and Kadath::Metric::syst.

◆ update() [1/2]

void Kadath::Metric::update ( )

virtualinherited

Updates the derived quantities (Christoffels etc..) This is done only for the ones that are needed, i.e.

for the ones that have already been computed.

Reimplemented in Kadath::Metric_flat_nophi, Kadath::Metric_AADS, Kadath::Metric_ADS, and Kadath::Metric_flat.

Definition at line 99 of file metric.cpp.

References Kadath::Metric::espace, and Kadath::Space::get_nbr_domains().

◆ update() [2/2]

void Kadath::Metric::update ( int dd )

virtualinherited

Updates the derived quantities (Christoffels etc..) in a given Domain This is done only for the ones that are needed, i.e.

for the ones that have already been computed.

Parameters

dd	: the index of the `Domain`.

Reimplemented in Kadath::Metric_flat_nophi, Kadath::Metric_flat, Kadath::Metric_AADS, and Kadath::Metric_ADS.

Definition at line 82 of file metric.cpp.

Member Data Documentation

◆ basis

const Base_tensor& Kadath::Metric_general::basis

protectedinherited

The tensorial basis used.

Definition at line 383 of file metric.hpp.

◆ espace

const Space& Kadath::Metric::espace

protectedinherited

The associated Space.

Definition at line 42 of file metric.hpp.

◆ fmet

Metric_flat Kadath::Metric_general::fmet

protectedinherited

Associated flat metric.

Definition at line 384 of file metric.hpp.

◆ p_christo

MMPtr_array<Term_eq> Kadath::Metric::p_christo

mutableprotectedinherited

Array of pointers on various Term_eq.

Each one points onto one component of the Christoffel symbols, in a given Domain.

Definition at line 60 of file metric.hpp.

◆ p_det_cov

MMPtr_array<Term_eq> Kadath::Metric::p_det_cov

mutableprotectedinherited

Array of pointers on various Term_eq.

Each one points onto determinant of the covariant representation, in a given Domain.

Definition at line 85 of file metric.hpp.

◆ p_dirac

MMPtr_array<Term_eq> Kadath::Metric::p_dirac

mutableprotectedinherited

Array of pointers on various Term_eq.

Each one points onto the potential of the Dirac gauge, in a given Domain.

Definition at line 80 of file metric.hpp.

◆ p_met

Metric_tensor* Kadath::Metric_general::p_met

protectedinherited

Pointer on the Metric_tensor describing the metric.

Definition at line 382 of file metric.hpp.

◆ p_met_con

MMPtr_array<Term_eq> Kadath::Metric::p_met_con

mutableprotectedinherited

Array of pointers on various Term_eq.

Each one points onto one component of the contravariant representation of the Metric, in a given Domain.

Definition at line 55 of file metric.hpp.

◆ p_met_cov

MMPtr_array<Term_eq> Kadath::Metric::p_met_cov

mutableprotectedinherited

Array of pointers on various Term_eq.

Each one points onto one component of the covariant representation of the Metric, in a given Domain.

Definition at line 50 of file metric.hpp.

◆ p_ricci_scalar

MMPtr_array<Term_eq> Kadath::Metric::p_ricci_scalar

mutableprotectedinherited

Array of pointers on various Term_eq.

Each one points onto the Ricci scalar, in a given Domain.

Definition at line 75 of file metric.hpp.

◆ p_ricci_tensor

MMPtr_array<Term_eq> Kadath::Metric::p_ricci_tensor

mutableprotectedinherited

Array of pointers on various Term_eq.

Each one points onto one component of the Ricci tensor, in a given Domain.

Definition at line 70 of file metric.hpp.

◆ p_riemann

MMPtr_array<Term_eq> Kadath::Metric::p_riemann

mutableprotectedinherited

Array of pointers on various Term_eq.

Each one points onto one component of the Riemann tensor, in a given Domain.

Definition at line 65 of file metric.hpp.

◆ place_syst

int Kadath::Metric_general::place_syst

protectedinherited

Gives the location of the metric amongst the various unknowns of the associated System_of_eqs.

Definition at line 385 of file metric.hpp.

◆ syst

const System_of_eqs* Kadath::Metric::syst

protectedinherited

Pointer of the system of equations where the metric is used (only one for now).

Definition at line 44 of file metric.hpp.

◆ type_tensor

int Kadath::Metric::type_tensor

protectedinherited

States if one works in the CON or COV representation.

Definition at line 86 of file metric.hpp.

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_harmonic() [1/2]

◆ Metric_harmonic() [2/2]

Member Function Documentation

◆ compute_christo()

◆ compute_con()

◆ compute_cov()

◆ compute_det_cov()

◆ compute_dirac()

◆ compute_ricci_scalar()

◆ compute_ricci_tensor()

◆ compute_riemann()

◆ derive()

◆ derive_flat()

◆ derive_partial()

◆ get_background()

◆ get_fmet()

◆ give_christo()

◆ give_det_cov()

◆ give_dirac()

◆ give_ricci_scalar()

◆ give_ricci_tensor()

◆ give_riemann()

◆ give_term()

◆ give_type()

◆ manipulate_ind()

◆ set_system()

◆ update() [1/2]

◆ update() [2/2]

Member Data Documentation

◆ basis

◆ espace

◆ fmet

◆ p_christo

◆ p_det_cov

◆ p_dirac

◆ p_met

◆ p_met_con

◆ p_met_cov

◆ p_ricci_scalar

◆ p_ricci_tensor

◆ p_riemann

◆ place_syst

◆ syst

◆ type_tensor