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Birkhoff's theorem in Lovelock gravity

Zegers, Robin

Authors

Robin Zegers



Abstract

We show that the generic solutions of the Lovelock equations with spherical, planar or hyperbolic symmetry are locally isometric to the corresponding static Lovelock black hole. As a consequence, these solutions are locally static: they admit an additional Killing vector that can either be space-like or time-like, depending on the position. This result also holds in the presence of an abelian gauge field, in which case the solutions are locally isometric to a charged static black hole.

Citation

Zegers, R. (2005). Birkhoff's theorem in Lovelock gravity. Journal of Mathematical Physics, 46(7), Article 072502. https://doi.org/10.1063/1.1960798

Journal Article Type Article
Acceptance Date May 27, 2005
Online Publication Date Jul 15, 2005
Publication Date Jul 15, 2005
Deposit Date Feb 15, 2008
Journal Journal of Mathematical Physics
Print ISSN 0022-2488
Electronic ISSN 1089-7658
Publisher American Institute of Physics
Peer Reviewed Peer Reviewed
Volume 46
Issue 7
Article Number 072502
DOI https://doi.org/10.1063/1.1960798
Public URL https://durham-repository.worktribe.com/output/1546739
Publisher URL http://arxiv.org/abs/gr-qc/0505016


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