Isolated Horizon, Killing Horizon and Event Horizon
General Relativity and Quantum Cosmology
2008-11-26 v3
Abstract
We consider space-times which in addition to admitting an isolated horizon also admit Killing horizons with or without an event horizon. We show that an isolated horizon is a Killing horizon provided either (1) it admits a stationary neighbourhood or (2) it admits a neighbourhood with two independent, commuting Killing vectors. A Killing horizon is always an isolated horizon. For the case when an event horizon is definable, all conceivable relative locations of isolated horizon and event horizons are possible. Corresponding conditions are given.
Cite
@article{arxiv.gr-qc/0107039,
title = {Isolated Horizon, Killing Horizon and Event Horizon},
author = {G. Date},
journal= {arXiv preprint arXiv:gr-qc/0107039},
year = {2008}
}
Comments
14 pages, Latex, no figures. Some arguments tightened. To appear in Class. Quant. Grav