1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
|
/*
* Method Etoile_rot::update_metric
*
* (see file etoile.h for documentation)
*
*/
/*
* Copyright (c) 2000-2001 Eric Gourgoulhon
*
* This file is part of LORENE.
*
* LORENE is free software; you can redistribute it and/or modify
* it under the terms of the GNU General Public License as published by
* the Free Software Foundation; either version 2 of the License, or
* (at your option) any later version.
*
* LORENE is distributed in the hope that it will be useful,
* but WITHOUT ANY WARRANTY; without even the implied warranty of
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
* GNU General Public License for more details.
*
* You should have received a copy of the GNU General Public License
* along with LORENE; if not, write to the Free Software
* Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
*
*/
char et_rot_upmetr_C[] = "$Header: /cvsroot/Lorene/C++/Source/Etoile/et_rot_upmetr.C,v 1.3 2014/10/13 08:52:58 j_novak Exp $" ;
/*
* $Id: et_rot_upmetr.C,v 1.3 2014/10/13 08:52:58 j_novak Exp $
* $Log: et_rot_upmetr.C,v $
* Revision 1.3 2014/10/13 08:52:58 j_novak
* Lorene classes and functions now belong to the namespace Lorene.
*
* Revision 1.2 2004/10/11 15:09:02 j_novak
* The radial manipulation functions take Scalar as arguments, instead of Cmp.
* Added a conversion operator from Scalar to Cmp.
* The Cmp radial manipulation function make conversion to Scalar, call to the
* Map_radial version with a Scalar argument and back.
*
* Revision 1.1.1.1 2001/11/20 15:19:28 e_gourgoulhon
* LORENE
*
* Revision 2.4 2001/01/25 13:01:28 eric
* Appel de set_std_base() sur bbb et b_car.
*
* Revision 2.3 2000/11/20 21:43:08 eric
* Ajout de bbb.set_etat_qcq() avant bbb.set().
*
* Revision 1.2 2000/09/18 16:15:52 eric
* *** empty log message ***
*
* Revision 1.1 2000/07/20 15:33:06 eric
* Initial revision
*
*
* $Header: /cvsroot/Lorene/C++/Source/Etoile/et_rot_upmetr.C,v 1.3 2014/10/13 08:52:58 j_novak Exp $
*
*/
// Headers Lorene
#include "etoile.h"
namespace Lorene {
void Etoile_rot::update_metric() {
// Lapse function N
// ----------------
nnn = exp( unsurc2 * logn ) ;
nnn.set_std_base() ; // set the bases for spectral expansions
// Metric factor A^2
// -----------------
a_car = exp( 2*unsurc2*( dzeta - logn ) ) ;
a_car.set_std_base() ; // set the bases for spectral expansions
// Metric factor B
// ---------------
Cmp tmp = tggg() ;
tmp.div_rsint() ; //... Division of tG by r sin(theta)
bbb.set_etat_qcq() ;
bbb.set() = tmp ;
bbb = (bbb + 1) / nnn ;
bbb.set_std_base() ; // set the bases for spectral expansions
// Metric factor B^2
// -----------------
b_car = bbb * bbb ;
b_car.set_std_base() ; // set the bases for spectral expansions
// Tensor B^{-2} K_{ij} and Scalar A^2 K_{ij} K^{ij}
// -------------------------------------------------
extrinsic_curvature() ;
// The derived quantities are no longer up to date :
// -----------------------------------------------
del_deriv() ;
}
}
|
