Stationary Black Holes as Holographs

dc.creatorRacz, Istvan
dc.date2007-01-18
dc.date2007-09-20
dc.date.accessioned2026-07-07T11:01:36Z
dc.date.available2026-07-07T11:01:36Z
dc.descriptionSmooth spacetimes possessing a (global) one-parameter group of isometries and an associated Killing horizon in Einstein's theory of gravity are investigated. No assumption concerning the asymptotic structure is made, thereby, the selected spacetimes may be considered as generic distorted stationary black holes. First, spacetimes of arbitrary dimension, $n\geq 3$, with matter satisfying the dominant energy condition and allowing non-zero cosmological constant are investigated. In this part complete characterisation of the topology of the event horizon of ``distorted'' black holes is given. It is shown that the topology of the event horizon of ``distorted'' black holes is allowed to possess a much larger variety than that of the isolated black hole configurations. In the second part, 4-dimensional (non-degenerate) electrovac distorted black hole spacetimes are considered. It is shown that the spacetime geometry and the electromagnetic field are uniquely determined in the black hole region once the geometry of the bifurcation surface and one of the electromagnetic potentials are specified there. Conditions guaranteeing the same type of determinacy, in a neighbourhood of the event horizon, on the {\it domain of outer communication} side are also investigated. In particular, they are shown to be satisfied in the analytic case.
dc.description31 pages, LaTeX; typos corrected, new references added, to appear in CQG
dc.identifierhttps://arxiv.org/abs/gr-qc/0701104
dc.identifierhttp://arxiv.org/abs/gr-qc/0701104
dc.identifierClass.Quant.Grav.24:5541-5572,2007
dc.identifierdoi:10.1088/0264-9381/24/22/016
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/188000
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Theory
dc.titleStationary Black Holes as Holographs
dc.typetext

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