bin_bhns_extr_global.C

/*
 *  Methods of class Bin_bhns_extr to compute global quantities
 *
 *    (see file bin_bhns_extr.h for documentation).
 *
 */

/*
 *   Copyright (c) 2004-2005 Keisuke Taniguchi
 *
 *   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 bin_bhns_extr_global_C[] = "$Header: /cvsroot/Lorene/C++/Source/Bin_bhns_extr/bin_bhns_extr_global.C,v 1.2 2005/02/28 23:07:12 k_taniguchi Exp $" ;

/*
 * $Id: bin_bhns_extr_global.C,v 1.2 2005/02/28 23:07:12 k_taniguchi Exp $
 * $Log: bin_bhns_extr_global.C,v $
 * Revision 1.2  2005/02/28 23:07:12  k_taniguchi
 * Suppression of the ADM mass and so on.
 *
 * Revision 1.1  2004/11/30 20:46:13  k_taniguchi
 * *** empty log message ***
 *
 *
 * $Header: /cvsroot/Lorene/C++/Source/Bin_bhns_extr/bin_bhns_extr_global.C,v 1.2 2005/02/28 23:07:12 k_taniguchi Exp $
 *
 */

// C headers
#include <math.h>

// Lorene headers
#include "bin_bhns_extr.h"
#include "coord.h"
#include "unites.h"

          //--------------------------------------------------//
          //          X coordinate of the barycenter          //
          //--------------------------------------------------//

double Bin_bhns_extr::xa_barycenter_extr() const {

  using namespace Unites ;

    if (p_xa_barycenter_extr == 0x0) {    // a new computation is required

        p_xa_barycenter_extr = new double ;

    *p_xa_barycenter_extr = 0 ;

        const Map& mp = star.get_mp() ;
        Cmp xxa(mp) ;
    xxa = mp.xa ;   // Absolute X coordinate
    xxa.std_base_scal() ;

    if (star.in_kerrschild()) { // Kerr-Schild background metric

        const Coord& xx = mp.x ;
        const Coord& yy = mp.y ;
        const Coord& zz = mp.z ;

        Tenseur r_bh(mp) ;
        r_bh.set_etat_qcq() ;
        r_bh.set() = pow( (xx+separ)*(xx+separ) + yy*yy + zz*zz, 0.5) ;
        r_bh.set_std_base() ;

        Tenseur msr(mp) ;
        msr = ggrav * mass_bh / r_bh ;
        msr.set_std_base() ;

        Cmp tmp = sqrt(1. + 2.*msr()) ;
        tmp.std_base_scal() ;

        Tenseur acar = star.get_a_car() ;
        acar.set_std_base() ;

        Tenseur g_euler = star.get_gam_euler() ;
        g_euler.set_std_base() ;

        Tenseur nbary = star.get_nbar() ;
        nbary.set_std_base() ;

        Cmp dens = acar() * sqrt(acar()) * g_euler() * nbary()
          * tmp * xxa ;
        dens.std_base_scal() ;

        *p_xa_barycenter_extr = dens.integrale() / mass_b_extr() ;

    }
    else { // Conformally flat background metrci

        Tenseur acar = star.get_a_car() ;
        acar.set_std_base() ;

        Tenseur g_euler = star.get_gam_euler() ;
        g_euler.set_std_base() ;

        Tenseur nbary = star.get_nbar() ;
        nbary.set_std_base() ;

        Cmp dens = acar() * sqrt(acar()) * g_euler() * nbary() * xxa ;
        dens.std_base_scal() ;

        *p_xa_barycenter_extr = dens.integrale() / mass_b_extr() ;

    }

    }

    return *p_xa_barycenter_extr ;

}

          //--------------------------------------------------//
          //          Y coordinate of the barycenter          //
          //--------------------------------------------------//

double Bin_bhns_extr::ya_barycenter_extr() const {

  using namespace Unites ;

    if (p_ya_barycenter_extr == 0x0) {    // a new computation is required

        p_ya_barycenter_extr = new double ;

    *p_ya_barycenter_extr = 0 ;

        const Map& mp = star.get_mp() ;
        Cmp yya(mp) ;
    yya = mp.ya ;   // Absolute Y coordinate
    yya.std_base_scal() ;

    if (star.in_kerrschild()) { // Kerr-Schild background metric

        const Coord& xx = mp.x ;
        const Coord& yy = mp.y ;
        const Coord& zz = mp.z ;

        Tenseur r_bh(mp) ;
        r_bh.set_etat_qcq() ;
        r_bh.set() = pow( (xx+separ)*(xx+separ) + yy*yy + zz*zz, 0.5) ;
        r_bh.set_std_base() ;

        Tenseur msr(mp) ;
        msr = ggrav * mass_bh / r_bh ;
        msr.set_std_base() ;

        Cmp tmp = sqrt(1. + 2.*msr()) ;
        tmp.std_base_scal() ;

        Tenseur acar = star.get_a_car() ;
        acar.set_std_base() ;

        Tenseur g_euler = star.get_gam_euler() ;
        g_euler.set_std_base() ;

        Tenseur nbary = star.get_nbar() ;
        nbary.set_std_base() ;

        Cmp dens = acar() * sqrt(acar()) * g_euler() * nbary()
          * tmp * yya ;
        dens.std_base_scal() ;

        *p_ya_barycenter_extr = dens.integrale() / mass_b_extr() ;

    }
    else { // Conformally flat background metric
           // It should be zero !

        Tenseur acar = star.get_a_car() ;
        acar.set_std_base() ;

        Tenseur g_euler = star.get_gam_euler() ;
        g_euler.set_std_base() ;

        Tenseur nbary = star.get_nbar() ;
        nbary.set_std_base() ;

        Cmp dens = acar() * sqrt(acar()) * g_euler() * nbary() * yya ;
        dens.std_base_scal() ;

        *p_ya_barycenter_extr = dens.integrale() / mass_b_extr() ;

    }

    }

    return *p_ya_barycenter_extr ;

}

          //-------------------------------//
          //          Baryon mass          //
          //-------------------------------//

double Bin_bhns_extr::mass_b_extr() const {

  using namespace Unites ;

    if (p_mass_b_extr == 0x0) {    // a new computation is required

        p_mass_b_extr = new double ;

        if (star.is_relativistic()) {  // Relativistic case

        *p_mass_b_extr = 0 ;

        if (star.in_kerrschild()) { // Kerr-Schild background metric

            const Map& mp = star.get_mp() ;

        const Coord& xx = mp.x ;
        const Coord& yy = mp.y ;
        const Coord& zz = mp.z ;

        Tenseur r_bh(mp) ;
        r_bh.set_etat_qcq() ;
        r_bh.set() = pow( (xx+separ)*(xx+separ) + yy*yy + zz*zz, 0.5) ;
        r_bh.set_std_base() ;

        Tenseur msr(mp) ;
        msr = ggrav * mass_bh / r_bh ;
        msr.set_std_base() ;

        Cmp tmp = sqrt(1. + 2.*msr()) ;
        tmp.std_base_scal() ;

        Tenseur acar = star.get_a_car() ;
        acar.set_std_base() ;

        Tenseur g_euler = star.get_gam_euler() ;
        g_euler.set_std_base() ;

        Tenseur nbary = star.get_nbar() ;
        nbary.set_std_base() ;

        Cmp dens = acar() * sqrt(acar()) * g_euler() * nbary() * tmp ;
        dens.std_base_scal() ;

        *p_mass_b_extr = dens.integrale() ;

        }
        else { // Conformally flat background metric

            Tenseur acar = star.get_a_car() ;
        acar.set_std_base() ;

        Tenseur g_euler = star.get_gam_euler() ;
        g_euler.set_std_base() ;

        Tenseur nbary = star.get_nbar() ;
        nbary.set_std_base() ;

        Cmp dens = acar() * sqrt(acar()) * g_euler() * nbary() ;
        dens.std_base_scal() ;

        *p_mass_b_extr = dens.integrale() ;

        }

    }
    else {

        cout << "BH-NS binary system should be relativistic!!!" << endl ;
        abort() ;

    }
    }

    return *p_mass_b_extr ;

}

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