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

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

2004-05-04

arxiv.org/abs/gr-qc/0405016v2

Class.Quant.Grav. 21 (2004) 4297-4304

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

5 pages, 2 figures, published version including minor amendments suggested by the referee

Scientific paper

10.1088/0264-9381/21/18/002

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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