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arXiv · 1102.0999

Trapped and marginally trapped surfaces in Weyl-distorted Schwarzschild solutions

Terry Pilkington·Alexandre Melanson·Joseph Fitzgerald·Ivan Booth
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Abstract

To better understand the allowed range of black hole geometries, we study Weyl-distorted Schwarzschild solutions. They always contain trapped surfaces, a singularity and an isolated horizon and so should be understood to be (geometric) black holes. However we show that for large distortions the isolated horizon is neither a future outer trapping horizon (FOTH) nor even a marginally trapped surface: slices of the horizon cannot be infinitesimally deformed into (outer) trapped surfaces. We consider the implications of this result for popular quasilocal definitions of black holes.

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Terry Pilkington, Alexandre Melanson, Joseph Fitzgerald, Ivan Booth. 2011-07-14. Trapped and marginally trapped surfaces in Weyl-distorted Schwarzschild solutions. https://doi.org/10.1088/0264-9381%2F28%2F12%2F125018

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