Abstract
We derive electrically charged black hole solutions of the Einstein-Gauss-Bonnet equations with a nonlinear electrodynamics source in dimensions. The spacetimes are given as a warped product , where is a -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 is non-null. An extension of the analysis for full Lovelock gravity is also achieved with a particular attention to the Chern-Simons case.
- Received 17 December 2008
DOI:https://doi.org/10.1103/PhysRevD.79.044012
©2009 American Physical Society