Lovelock black holes with a nonlinear Maxwell field

By H. Maeda, M. Hassaine, Cristián Martínez. 2008

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We derive electrically charged black hole solutions of the Einstein-Gauss-Bonnet equations with a nonlinear electrodynamics source in n(≥ 5) dimensions. The spacetimes are given as a warped product M 2 × K n-2 , where K n-2 is a (n - 2)-dimensional constant curvature space. We establish a generalized Birkhoff's theorem by showing that it is the unique electrically charged solution with this isometry and for which the orbit of the warp factor on K n-2 is non-null. An extension of the analysis for full Lovelock gravity is also achieved with a particular attention to the Chern-Simons case.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/3f44052576add082ffe107aa29fc3d28b950ff6e