Apparent horizon finder for a special family of spacetimes in 3D numerical relativity

Details Apparent horizon finder for a special family of spacetimes in 3D numerical relativity Apparent horizon finder for a special family of spacetimes in 3D numerical relativity

Feb 1997

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1997phrvd..55.2002s&link_type=abstract

Physical Review D (Particles, Fields, Gravitation, and Cosmology), Volume 55, Issue 4, 15 February 1997, pp.2002-2013

Physics

36

Numerical Relativity, Asymptotic Structure

Scientific paper

We present a method to find the apparent horizon (AH) on a special family of three-dimensional (3D) spacelike hypersurfaces which has π-rotation symmetry around the z axis as well as the reflection one with respect to the equatorial plane. In a nonaxisymmetric 3D hypersurface, the AH, if it exists, is determined by solving a 2D elliptic-type equation. In the present method, we solve the elliptic-type equation as a boundary value problem. To test this method, we apply it to a variety of nonaxisymmetric 3D hypersurfaces which can be obtained by solving the constraint equations in general relativity. We find that the present method works well in all cases.

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