Isolated Horizon, Killing Horizon and Event Horizon

Details Isolated Horizon, Killing Horizon and Event Horizon Isolated Horizon, Killing Horizon and Event Horizon

2001-07-11

arxiv.org/abs/gr-qc/0107039v3

Class.Quant.Grav.18:5219-5226,2001

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

14 pages, Latex, no figures. Some arguments tightened. To appear in Class. Quant. Grav

Scientific paper

10.1088/0264-9381/18/23/315

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.

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