On the proximity of black hole horizons: lessons from Vaidya
General Relativity and Quantum Cosmology
2011-02-02 v3
Abstract
In dynamical spacetimes, apparent and event horizons do not coincide. In this paper we propose a geometrical measure of the distance between those horizons and investigate it for the case of the Vaidya spacetime. We show that it is well-defined, physically meaningful, and has the expected behaviour in the near-equilibrium limit. We consider its implications for our understanding of black hole physics.
Keywords
Cite
@article{arxiv.1007.1642,
title = {On the proximity of black hole horizons: lessons from Vaidya},
author = {Ivan Booth and Jonathan Martin},
journal= {arXiv preprint arXiv:1007.1642},
year = {2011}
}
Comments
15 pages, 7 figures; Version 2: minor typos corrected and a couple of references added; Version 3: To appear in PRD. Largest changes are inclusion of correct Figure 5 (!!) and rewriting of perturbations in dimensionless form