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c $Header$
C Author: Frank Loeffler (frank.loeffler@aei.mpg.de)
C Licence: GPL 2 or later
C
C Note that this model explicitly sets the conformal factor psi ,
C and thus does *NOT* work with the "arbitrary slice evolver" option
C of this thorn.
#include "cctk.h"
#include "cctk_Parameters.h"
#include "cctk_Functions.h"
#define Pi (4 * atan(1.d0))
subroutine Exact__Minkowski_conf_wave(
$ x, y, z, t,
$ gdtt, gdtx, gdty, gdtz,
$ gdxx, gdyy, gdzz, gdxy, gdyz, gdzx,
$ gutt, gutx, guty, gutz,
$ guxx, guyy, guzz, guxy, guyz, guzx,
$ psi, Tmunu_flag)
implicit none
DECLARE_CCTK_PARAMETERS
DECLARE_CCTK_FUNCTIONS
c input arguments
CCTK_REAL x, y, z
CCTK_DECLARE(CCTK_REAL, t,)
c output arguments
CCTK_REAL gdtt, gdtx, gdty, gdtz,
$ gdxx, gdyy, gdzz, gdxy, gdyz, gdzx,
$ gutt, gutx, guty, gutz,
$ guxx, guyy, guzz, guxy, guyz, guzx
CCTK_REAL psi
LOGICAL Tmunu_flag
C This is a vacuum spacetime with no cosmological constant
Tmunu_flag = .false.
C write conformal factor
if (Minkowski_conf_wave__direction .eq. 0) then
psi = Minkowski_conf_wave__amplitude *
. sin(2.0d0*Pi/Minkowski_conf_wave__wavelength* x ) + 1.0d0
else if (Minkowski_conf_wave__direction .eq. 1) then
psi = Minkowski_conf_wave__amplitude *
. sin(2.0d0*Pi/Minkowski_conf_wave__wavelength* y ) + 1.0d0
else if (Minkowski_conf_wave__direction .eq. 2) then
psi = Minkowski_conf_wave__amplitude *
. sin(2.0d0*Pi/Minkowski_conf_wave__wavelength* z ) + 1.0d0
end if
C write metric.
gdxx = psi**(-4.0d0)
gdyy = gdxx
gdzz = gdxx
gdxy = 0.0d0
gdyz = 0.0d0
gdzx = 0.0d0
gdtt = -1.0d0
gdtx = 0.0d0
gdty = 0.0d0
gdtz = 0.0d0
C and upper metric.
guxx = psi**4.0d0
guyy = guxx
guzz = guxx
guxy = 0.0d0
guyz = 0.0d0
guzx = 0.0d0
gutt = -1.0d0
gutx = 0.0d0
guty = 0.0d0
gutz = 0.0d0
return
end
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