On the validity of the 5-dimensional Birkhoff theorem: The tale of an exceptional case

Simple item page
dc.creatorKeresztes, Zoltán
dc.creatorGergely, László Á.
dc.date2007-12-21
dc.date2008-06-26
dc.date.accessioned2026-07-07T11:54:48Z
dc.date.available2026-07-07T11:54:48Z
dc.descriptionThe 5-dimensional (5d) Birkhoff theorem gives the class of 5d vacuum space-times containing spatial hypersurfaces with cosmological symmetries. This theorem is violated by the 5d vacuum Gergely-Maartens (GM) space-time, which is not a representant of the above class, but contains the static Einstein brane as embedded hypersurface. We prove that the 5d Birkhoff theorem is still satisfied in a weaker sense: the GM space-time is related to the degenerated horizon metric of certain black-hole space-times of the allowed class. This result resembles the connection between the Bertotti-Robinson space-time and the horizon region of the extremal Reissner-Nordstrom space-time in general relativity.
dc.description13 pages; v2: title amended, to be published in Classical and Quantum Gravity
dc.identifierhttps://arxiv.org/abs/0712.3758
dc.identifierhttp://arxiv.org/abs/0712.3758
dc.identifierClass.Quant.Grav.25:165016,2008
dc.identifierdoi:10.1088/0264-9381/25/16/165016
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/205035
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectAstrophysics
dc.subjectHigh Energy Physics - Theory
dc.titleOn the validity of the 5-dimensional Birkhoff theorem: The tale of an exceptional case
dc.typetext

Files

Collections

arXiv