Metric_flat Class Reference
[Tensorial fields]
Flat metric for tensor calculation. More...
#include <metric.h>
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
Standard constructor.
Standard constructor from a mapping and a triad.
Definition at line 72 of file metric_flat.C.
References cov().
| Metric_flat::Metric_flat | ( | const Metric_flat & | meti | ) |
Copy constructor.
Definition at line 81 of file metric_flat.C.
| Metric_flat::Metric_flat | ( | const Map & | mpi, | |
| FILE * | fd | |||
| ) |
Constructor from a file (see sauve(FILE*) ).
Definition at line 87 of file metric_flat.C.
| Metric_flat::~Metric_flat | ( | ) | [virtual] |
Destructor.
Definition at line 99 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 149 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 171 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 130 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 172 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 193 of file metric.C.
References Tensor::del_derive_met(), Tensor::get_place_met(), Metric::set_tensor_depend_0x0(), and 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 210 of file metric_flat.C.
References Metric::mp, Metric::p_determinant, and Scalar::set_etat_one().
| const Map& Metric::get_mp | ( | ) | const [inline, inherited] |
| const Base_vect* Metric_flat::get_triad | ( | ) | const [inline] |
| 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 115 of file metric_flat.C.
| void Metric_flat::operator= | ( | const Metric_flat & | meti | ) |
Assignment to another Metric_flat.
Reimplemented from Metric.
Definition at line 108 of file metric_flat.C.
References triad.
| ostream & Metric_flat::operator>> | ( | ostream & | ost | ) | const [protected, virtual] |
Operator >> (virtual function called by the operator <<).
Reimplemented from Metric.
Definition at line 237 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 358 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 334 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 197 of file metric_flat.C.
References Metric::mp, Metric::p_ricci_scal, and Scalar::set_etat_zero().
| void Metric_flat::sauve | ( | FILE * | ) | const [virtual] |
| void Metric::set_der_0x0 | ( | ) | const [protected, inherited] |
Sets to 0x0 all the pointers on derived quantities.
Definition at line 184 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 204 of file metric.C.
References Metric::tensor_depend.
Friends And Related Function Documentation
| ostream& operator<< | ( | ostream & | , | |
| const Metric & | ||||
| ) | [friend, inherited] |
Display.
Member Data Documentation
const Map* const Metric::mp [protected, inherited] |
Connection* Metric::p_connect [mutable, protected, inherited] |
Connection associated with the metric.
Scalar* Metric::p_determinant [mutable, protected, inherited] |
Sym_tensor* Metric::p_met_con [mutable, protected, inherited] |
Sym_tensor* Metric::p_met_cov [mutable, protected, inherited] |
Vector* Metric::p_radial_vect [mutable, protected, inherited] |
Scalar* Metric::p_ricci_scal [mutable, protected, inherited] |
const Tensor* Metric::tensor_depend[N_TENSOR_DEPEND] [mutable, protected, inherited] |
const Base_vect* Metric_flat::triad [protected] |
The documentation for this class was generated from the following files:
