Abstract

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 Kn-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. © 2009 The American Physical Society.