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c Schwarzschild spacetime in Brill-Lindquist coordinates.
C
c $Header$
#include "cctk.h"
#include "cctk_Parameters.h"
subroutine Exact__Schwarzschild_BL(
$ 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
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_DECLARE(CCTK_REAL, psi,)
LOGICAL Tmunu_flag
c local variables
CCTK_REAL eps, m
c local variables
CCTK_REAL r, psi4
C This is a vacuum spacetime with no cosmological constant
Tmunu_flag = .false.
C Get parameters of the exact solution.
eps = Schwarzschild_BL__epsilon
m = Schwarzschild_BL__mass
r = ((x**2 + y**2 + z**2)**2 + eps**4) ** 0.25d0
psi4 = (1 + m / (2 * r)) ** 4
gdtt = -1
gdtx = 0
gdty = 0
gdtz = 0
gdxx = psi4
gdyy = psi4
gdzz = psi4
gdxy = 0
gdyz = 0
gdzx = 0
gutt = -1
gutx = 0
guty = 0
gutz = 0
guxx = 1 / psi4
guyy = 1 / psi4
guzz = 1 / psi4
guxy = 0
guyz = 0
guzx = 0
return
end
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