Trapped and marginally trapped surfaces in Weyl-distorted Schwarzschild solutions

Details Trapped and marginally trapped surfaces in Weyl-distorted Schwarzschild solutions Trapped and marginally trapped surfaces in Weyl-distorted Schwarzschild solutions

2011-02-04

arxiv.org/abs/1102.0999v2

Class.Quant.Grav.28:125018,2011

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

The results are unchanged but this version supersedes that published in CQG. The major change is a rewriting of Section 3.1 to

Scientific paper

10.1088/0264-9381/28/12/125018

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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