28char strot_dirac_solvehij_C[] =
"$Header: /cvsroot/Lorene/C++/Source/Star/strot_dirac_solvehij.C,v 1.10 2014/10/13 08:53:40 j_novak Exp $" ;
74#include "star_rot_dirac.h"
113 for (
int i=1;
i<=3;
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int k=1;
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int l=1;
l<=3;
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int k=1;
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int m=1;
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int n=1;
n<=3;
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166 - 0.3333333333333333 *
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int i=1;
i<=3;
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int j=1;
j<=
i;
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int k=1;
k<=3;
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int l=1;
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int i=1;
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int j=1;
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int k=1;
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int l=1;
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int i=1;
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int j=1;
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int k=1;
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int i=1;
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int j=
i;
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278 hij_new.set(1,3).set_etat_zero() ;
279 hij_new.set(2,3).set_etat_zero() ;
Spherical orthonormal vectorial bases (triads).
Time evolution with partial storage (*** under development ***).
const Base_vect_spher & get_bvect_spher() const
Returns the orthonormal vectorial basis associated with the coordinates of the mapping.
const Mg3d * get_mg() const
Gives the Mg3d on which the mapping is defined.
const Metric_flat & flat_met_spher() const
Returns the flat metric associated with the spherical coordinates and with components expressed in th...
Flat metric for tensor calculation.
virtual const Sym_tensor & con() const
Read-only access to the contravariant representation.
virtual const Sym_tensor & cov() const
Read-only access to the covariant representation.
Tensor field of valence 0 (or component of a tensorial field).
const Vector & derive_cov(const Metric &gam) const
Returns the gradient (1-form = covariant vector) of *this
const Vector & derive_con(const Metric &gam) const
Returns the "contravariant" derivative of *this with respect to some metric , by raising the index of...
Scalar derive_lie(const Vector &v) const
Computes the derivative of this along a vector field v.
Sym_tensor_trans hh
is defined by .
Scalar psi4
Conformal factor .
void solve_hij(Sym_tensor_trans &hij_new) const
Solution of the tensor Poisson equation for rotating stars in Dirac gauge.
Scalar nn
Lapse function N .
Scalar s_euler
Trace of the stress scalar in the Eulerian frame.
Sym_tensor stress_euler
Spatial part of the stress-energy tensor with respect to the Eulerian observer.
Map & mp
Mapping associated with the star.
Transverse symmetric tensors of rank 2.
Class intended to describe valence-2 symmetric tensors.
Sym_tensor derive_lie(const Vector &v) const
Computes the Lie derivative of this with respect to some vector field v.
Symmetric tensors (with respect to two of their arguments).
Tensor field of valence 1.
Sym_tensor ope_killing_conf(const Metric &gam) const
Computes the conformal Killing operator associated with a given metric.
const Tensor_sym & derive_cov(const Metric &gam) const
Returns the covariant derivative of this with respect to some metric .
const Tensor_sym & derive_con(const Metric &gam) const
Returns the "contravariant" derivative of this with respect to some metric , by raising the last inde...
Tensor trace(int ind1, int ind2) const
Trace on two different type indices.
Tenseur contract(const Tenseur &, int id1, int id2)
Self contraction of two indices of a Tenseur .
Standard units of space, time and mass.