Singularity Avoidance in Numerical Black Hole Spacetimes

Details Singularity Avoidance in Numerical Black Hole Spacetimes Singularity Avoidance in Numerical Black Hole Spacetimes

1994-12-21

arxiv.org/abs/gr-qc/9412055v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

3 pages, uuencoded gziped ps file including 1 Fig. Also available at http://jean-luc.ncsa.uiuc.edu/Papers/ To appear in the MG

Scientific paper

Spacetime singularities in numerical relativity can be avoided by excising a region of the computational domain from inside the apparent horizon. We report on results of such a scheme that is based on using ({\it i}) a horizon locking coordinate which locks the coordinate system to the geometry, and ({\it ii}) a finite differencing scheme which respects the causal structure of the spacetime. With this technique a black hole can be evolved accurately well beyond $t=1000M$, where $M$ is the black hole mass.

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