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

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Cited by in corpus (5)

• Scale dependent three-dimensional charged black holes in linear and non-linear electrodynamics
• Scale-dependent (2+1) - dimensional electrically charged black holes in Einstein-power-Maxwell theory
• Localization of Energy-Momentum for a Black Hole Spacetime Geometry with Constant Topological Euler Density
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• Gauss-Bonnet Gravity in $D=4$ Without Gauss-Bonnet Coupling to Matter - Cosmological Implications