Black holes with constant topological Euler density

Abstract

A class of four dimensional spherically symmetric and static geometries with constant topological Euler density is studied. These geometries are shown to solve the coupled Einstein-Maxwell system when non-linear Born-Infeld-like electrodynamics is employed.

7 pages, REVTeX 4, 1 figure, to appear in EPL

References in corpus (5)

• Regular black holes with a nonlinear electrodynamics source
• Construction of cosmologically viable f(G) gravity models
• Higher-dimensional charged black holes solutions with a nonlinear electrodynamics source
• Asymptotic Reissner-Nordstrom black holes
• Topological Static Spherically Symmetric vacuum Solutions in $\mathcal{F}(R,G)$ Gravity