Event Horizons in Numerical Relativity I: Methods and Tests

Details Event Horizons in Numerical Relativity I: Methods and Tests Event Horizons in Numerical Relativity I: Methods and Tests

1994-12-22

arxiv.org/abs/gr-qc/9412068v1

Phys.Rev. D53 (1996) 4335-4350

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

22 pages, LaTeX with RevTeX 3.0 macros, 20 uuencoded gz-compressed postscript figures. Also available at http://jean-luc.ncsa.

Scientific paper

10.1103/PhysRevD.53.4335

This is the first paper in a series on event horizons in numerical relativity. In this paper we present methods for obtaining the location of an event horizon in a numerically generated spacetime. The location of an event horizon is determined based on two key ideas: (1) integrating backward in time, and (2) integrating the whole horizon surface. The accuracy and efficiency of the methods are examined with various sample spacetimes, including both analytic (Schwarzschild and Kerr) and numerically generated black holes. The numerically evolved spacetimes contain highly distorted black holes, rotating black holes, and colliding black holes. In all cases studied, our methods can find event horizons to within a very small fraction of a grid zone.

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