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Singularity Avoidance in Numerical Black Hole Spacetimes

Peter Anninos·Greg Daues·Joan Masso·Edward Seidel·Wai-Mo Suen
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Abstract

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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Peter Anninos, Greg Daues, Joan Masso, Edward Seidel, Wai-Mo Suen. 1994-12-21. Singularity Avoidance in Numerical Black Hole Spacetimes. https://arxiv.org/abs/gr-qc/9412055

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