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/*
* Method of class Isol_hor to compute physical parameters of the horizon
*
* (see file isol_hor.h for documentation).
*
*/
/*
* Copyright (c) 2004 Jose Luis Jaramillo
*
* 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 version 2
* as published by the Free Software Foundation.
*
* 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 single_param_C[] = "$Header: /cvsroot/Lorene/C++/Source/Isol_hor/single_param.C,v 1.3 2014/10/13 08:53:01 j_novak Exp $" ;
/*
* $Id: single_param.C,v 1.3 2014/10/13 08:53:01 j_novak Exp $
* $Log: single_param.C,v $
* Revision 1.3 2014/10/13 08:53:01 j_novak
* Lorene classes and functions now belong to the namespace Lorene.
*
* Revision 1.2 2014/10/06 15:13:11 j_novak
* Modified #include directives to use c++ syntax.
*
* Revision 1.1 2007/04/13 15:28:35 f_limousin
* Lots of improvements, generalisation to an arbitrary state of
* rotation, implementation of the spatial metric given by Samaya.
*
*
* $Header: /cvsroot/Lorene/C++/Source/Isol_hor/single_param.C,v 1.3 2014/10/13 08:53:01 j_novak Exp $
*
*/
// C++ headers
#include "headcpp.h"
// C headers
#include <cstdlib>
#include <cassert>
// Lorene headers
#include "isol_hor.h"
#include "metric.h"
#include "evolution.h"
#include "unites.h"
#include "scalar.h"
#include "vector.h"
#include "graphique.h"
#include "utilitaires.h"
namespace Lorene {
const Scalar Single_hor::b_tilde()const {
Scalar tmp = contract( beta, 0, tgam.radial_vect()
.down(0, tgam), 0) ;
return tmp ;
}
const Scalar Single_hor::darea_hor() const {
Scalar tmp = sqrt( get_gam().cov()(2,2) * get_gam().cov()(3,3) -
get_gam().cov()(2,3) * get_gam().cov()(2,3)) ;
tmp.std_spectral_base() ;
return tmp ;
}
double Single_hor::area_hor() const {
Scalar integrand (darea_hor()) ;
integrand.raccord(1) ;
return mp.integrale_surface(integrand, radius + 1e-15) ;
}
double Single_hor::radius_hor() const {
double resu = area_hor() / (4. * M_PI);
resu = pow(resu, 1./2.) ;
return resu ;
}
double Single_hor::ang_mom_hor()const {
// Vector \partial_phi
Vector phi (ff.get_mp(), CON, *(ff.get_triad()) ) ;
Scalar tmp (ff.get_mp() ) ;
tmp = 1 ;
tmp.std_spectral_base() ;
tmp.mult_rsint() ;
phi.set(1) = 0. ;
phi.set(2) = 0. ;
phi.set(3) = tmp ;
Scalar k_rphi = contract(contract( get_gam().radial_vect(), 0,
get_k_dd(), 0), 0,
phi, 0) / (8. * M_PI) ;
Scalar integrand = k_rphi * darea_hor() ; // we correct with the curved
// element of area
double ang_mom = mp.integrale_surface(integrand, radius + 1e-15) ;
return ang_mom ;
}
// Mass (fundamental constants made 1)
double Single_hor::mass_hor()const {
double rr = radius_hor() ;
double tmp = sqrt( pow( rr, 4) + 4 * pow( ang_mom_hor(), 2) ) / ( 2 * rr ) ;
return tmp ;
}
// Surface gravity
double Single_hor::kappa_hor() const{
double rr = radius_hor() ;
double jj = ang_mom_hor() ;
double tmp = (pow( rr, 4) - 4 * pow( jj, 2)) / ( 2 * pow( rr, 3)
* sqrt( pow( rr, 4) + 4 * pow( jj, 2) ) ) ;
return tmp ;
}
// Orbital velocity
double Single_hor::omega_hor()const {
double rr = radius_hor() ;
double jj = ang_mom_hor() ;
double tmp = 2 * jj / ( rr * sqrt( pow( rr, 4) + 4 * pow( jj, 2) ) ) ;
return tmp ;
}
// ADM angular momentum
double Single_hor::ang_mom_adm()const {
Scalar integrand = (get_k_dd()(1,3) - get_gam().cov()(1,3) * trK) /
(8. * M_PI) ;
integrand.mult_rsint() ; // in order to pass from the triad
// component to the coordinate basis
double tmp = mp.integrale_surface_infini(integrand) ;
return tmp ;
}
// Expansion
Scalar Single_hor::expansion() const {
Scalar expa = contract(get_gam().radial_vect().derive_cov(get_gam()), 0,1)
+ contract(contract(get_k_dd(), 0, get_gam().radial_vect(), 0),
0, get_gam().radial_vect(), 0) - trK ;
return expa ;
}
}
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