Trapped and marginally trapped surfaces in Weyl-distorted Schwarzschild solutions
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.
Keywords
Cite
@article{arxiv.1102.0999,
title = {Trapped and marginally trapped surfaces in Weyl-distorted Schwarzschild solutions},
author = {Terry Pilkington and Alexandre Melanson and Joseph Fitzgerald and Ivan Booth},
journal= {arXiv preprint arXiv:1102.0999},
year = {2015}
}
Comments
The results are unchanged but this version supersedes that published in CQG. The major change is a rewriting of Section 3.1 to improve clarity and correct an error in the general expression for V(r,\theta). Several minor errors are also fixed - most significantly an incorrect statement made in the introduction about the extent of the outer prison in Vaidya. 17 pages, 2 figures