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C Lemaitre type universe - FRW with k =0, p=k rho and
C 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"
#include "cctk_Functions.h"
subroutine Exact__Lemaitre(
$ 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 t
CCTK_DECLARE(CCTK_REAL, x,)
CCTK_DECLARE(CCTK_REAL, y,)
CCTK_DECLARE(CCTK_REAL, z,)
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_DECLARE(CCTK_REAL, psi,)
LOGICAL Tmunu_flag
c local variables
CCTK_REAL ka, la, e0, r0
CCTK_REAL unu, ra, ra2, Pii
c this model sets the stress-energy tensor in the "CalcTmunu" code
Tmunu_flag = .true.
ka = Lemaitre__kappa
e0 = Lemaitre__epsilon0
la = Lemaitre__Lambda
r0 = Lemaitre__R0
Pii = acos(-1.0D0)
unu = sqrt(3.0D0*la)*t*(ka+1.0D0)/(2.0D0)
ra = r0*(cosh(unu)+sqrt(1.0D0+8.0D0*Pii*e0/la)*sinh(unu))**
& (2.0D0/(3.0D0*ka+3.0D0))
ra2 = ra*ra
gdtt = -1.0D0
gdtx = 0.0D0
gdty = 0.0D0
gdtz = 0.0D0
gdxx = ra2
gdyy = ra2
gdzz = ra2
gdxy = 0.0D0
gdyz = 0.0D0
gdzx = 0.0D0
gutt = -1.0D0
gutx = 0.0D0
guty = 0.0D0
gutz = 0.0D0
guxx = 1.0D0/ra2
guyy = 1.0D0/ra2
guzz = 1.0D0/ra2
guxy = 0.0D0
guyz = 0.0D0
guzx = 0.0D0
return
end
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