On the proximity of black hole horizons: lessons from Vaidya
arXiv:1007.1642 · doi:10.1103/PhysRevD.82.124046
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.
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
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