Lovelock black holes with a nonlinear Maxwell field

Abstract

We derive electrically charged black hole solutions of the Einstein-Gauss-Bonnet equations with a nonlinear electrodynamics source in $n(\ge 5)$ dimensions. The spacetimes are given as a warped product $M^2\times K^{n-2}$, 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.

9 pages, no figure; v2, references added, published version in Physical Review D

References in corpus (9)

• Higher-dimensional black holes with a conformally invariant Maxwell source
• A Note on Thermodynamics of Black Holes in Lovelock Gravity
• Higher-dimensional charged black holes solutions with a nonlinear electrodynamics source
• Generalized Misner-Sharp quasi-local mass in Einstein-Gauss-Bonnet gravity
• Shear Viscosity from Effective Couplings of Gravitons
• (In)stability of D-dimensional black holes in Gauss-Bonnet theory
• Black objects in the Einstein-Gauss-Bonnet theory with negative cosmological constant and the boundary counterterm method
• Gravitational instability of static spherically symmetric Einstein-Gauss-Bonnet black holes in five and six dimensions
• Nonlinear Electrodynamics and black holes