Isolated Horizon, Killing Horizon and Event Horizon

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

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General Relativity and Quantum Cosmology

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http://salesiana.dossiersoluciones.com/handle/123456789/184946

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/gr-qc/0107039
 http://arxiv.org/abs/gr-qc/0107039
 Class.Quant.Grav.18:5219-5226,2001
 doi:10.1088/0264-9381/18/23/315

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arXiv