et_rot_upmetr.C

00001 /*
00002  * Method Etoile_rot::update_metric
00003  *
00004  * (see file etoile.h for documentation)
00005  *
00006  */
00007 
00008 /*
00009  *   Copyright (c) 2000-2001 Eric Gourgoulhon
00010  *
00011  *   This file is part of LORENE.
00012  *
00013  *   LORENE is free software; you can redistribute it and/or modify
00014  *   it under the terms of the GNU General Public License as published by
00015  *   the Free Software Foundation; either version 2 of the License, or
00016  *   (at your option) any later version.
00017  *
00018  *   LORENE is distributed in the hope that it will be useful,
00019  *   but WITHOUT ANY WARRANTY; without even the implied warranty of
00020  *   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
00021  *   GNU General Public License for more details.
00022  *
00023  *   You should have received a copy of the GNU General Public License
00024  *   along with LORENE; if not, write to the Free Software
00025  *   Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA  02111-1307  USA
00026  *
00027  */
00028 
00029 
00030 char et_rot_upmetr_C[] = "$Header: /cvsroot/Lorene/C++/Source/Etoile/et_rot_upmetr.C,v 1.2 2004/10/11 15:09:02 j_novak Exp $" ;
00031 
00032 /*
00033  * $Id: et_rot_upmetr.C,v 1.2 2004/10/11 15:09:02 j_novak Exp $
00034  * $Log: et_rot_upmetr.C,v $
00035  * Revision 1.2  2004/10/11 15:09:02  j_novak
00036  * The radial manipulation functions take Scalar as arguments, instead of Cmp.
00037  * Added a conversion operator from Scalar to Cmp.
00038  * The Cmp radial manipulation function make conversion to Scalar, call to the
00039  * Map_radial version with a Scalar argument and back.
00040  *
00041  * Revision 1.1.1.1  2001/11/20 15:19:28  e_gourgoulhon
00042  * LORENE
00043  *
00044  * Revision 2.4  2001/01/25  13:01:28  eric
00045  * Appel de set_std_base() sur bbb et b_car.
00046  *
00047  * Revision 2.3  2000/11/20  21:43:08  eric
00048  * Ajout de bbb.set_etat_qcq() avant bbb.set().
00049  *
00050  * Revision 1.2  2000/09/18  16:15:52  eric
00051  * *** empty log message ***
00052  *
00053  * Revision 1.1  2000/07/20  15:33:06  eric
00054  * Initial revision
00055  *
00056  *
00057  * $Header: /cvsroot/Lorene/C++/Source/Etoile/et_rot_upmetr.C,v 1.2 2004/10/11 15:09:02 j_novak Exp $
00058  *
00059  */
00060 
00061 // Headers Lorene
00062 #include "etoile.h"
00063 
00064 
00065 void Etoile_rot::update_metric() {
00066  
00067     // Lapse function N
00068     // ----------------
00069     
00070     nnn = exp( unsurc2 * logn ) ; 
00071 
00072     nnn.set_std_base() ;   // set the bases for spectral expansions
00073     
00074     
00075     // Metric factor A^2
00076     // -----------------
00077     
00078     a_car = exp( 2*unsurc2*( dzeta - logn ) ) ; 
00079 
00080     a_car.set_std_base() ;   // set the bases for spectral expansions
00081 
00082     // Metric factor B
00083     // ---------------
00084     
00085     Cmp tmp = tggg() ; 
00086     tmp.div_rsint() ;           //... Division of tG by r sin(theta)
00087 
00088     bbb.set_etat_qcq() ;
00089     bbb.set() = tmp ;
00090     bbb = (bbb + 1) / nnn ; 
00091 
00092     bbb.set_std_base() ;   // set the bases for spectral expansions
00093     
00094     // Metric factor B^2
00095     // -----------------
00096     
00097     b_car = bbb * bbb ; 
00098     
00099     b_car.set_std_base() ;   // set the bases for spectral expansions
00100 
00101     // Tensor B^{-2} K_{ij} and Scalar A^2 K_{ij} K^{ij}
00102     // -------------------------------------------------
00103     
00104     extrinsic_curvature() ; 
00105     
00106   
00107     // The derived quantities are no longer up to date : 
00108     // -----------------------------------------------
00109 
00110     del_deriv() ;  
00111 
00112 }

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