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Slice Stretching at the Event Horizon when Geodesically Slicing the Schwarzschild Spacetime with Excision

2004/05/31 by Bernd Reimann
Physics and Astronomy · #gr-qc

paper · pdf · doi:10.1088/0264-9381/21/18/002

published as Class.Quant.Grav. 21 (2004) 4297-4304 · 5 pages, 2 figures, published version including minor amendments suggested by the referee

arxiv created 2004/08/25 · arxiv updated 2009/12/01

Abstract

Slice-stretching effects are discussed as they arise at the event horizon when geodesically slicing the extended Schwarzschild black-hole spacetime while using singularity excision. In particular, for Novikov and isotropic spatial coordinates the outward movement of the event horizon (``slice sucking'') and the unbounded growth there of the radial metric component (``slice wrapping'') are analyzed. For the overall slice stretching, very similar late time behavior is found when comparing with maximal slicing. Thus, the intuitive argument that attributes slice stretching to singularity avoidance is incorrect.

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