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C Bertotti spacetime with cosmological constant
C
C Author : D. Vulcanov (Timisoara, Romania)
C see ../../README for copyright & licensing info
C
C $Header$
#include "cctk.h"
#include "cctk_Parameters.h"
subroutine Exact__Bertotti(
$ 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
c input arguments
CCTK_REAL x, y, z, 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 static local variables
logical firstcall
data firstcall /.true./
save firstcall, baza
c$omp threadprivate (firstcall, baza)
c local variables
CCTK_REAL baza
CCTK_REAL unu, doi
C this model has a cosmological constant
C ==> it sets the stress-energy tensor in the "CalcTmunu" code
Tmunu_flag = .true.
if (firstcall) then
baza = Bertotti__Lambda
firstcall = .false.
end if
unu=exp(2.0D0*sqrt(-baza)*x)
doi=exp(2.0D0*sqrt(-baza)*z)
gdtt = -unu
gdtx = 0.0D0
gdty = 0.0D0
gdtz = 0.0D0
gdxx = 1.0D0
gdyy = doi
gdzz = 1.0D0
gdxy = 0.0D0
gdyz = 0.0D0
gdzx = 0.0D0
gutt = -1.0D0/unu
gutx = 0.0D0
guty = 0.0D0
gutz = 0.0D0
guxx = 1.0D0
guyy = 1.0D0/doi
guzz = 1.0D0
guxy = 0.0D0
guyz = 0.0D0
guzx = 0.0D0
return
end
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