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Birkhoff's theorem in Lovelock gravity.

Zegers, R. (2005) 'Birkhoff's theorem in Lovelock gravity.', Journal of mathematical physics., 46 (7). 072502.


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.

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Record Created:15 Feb 2008
Last Modified:20 Dec 2017 12:00

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