Regular black holes in an asymptotically de Sitter universe

Abstract

A regular solution of the system of coupled equations of the nonlinear electrodynamics and gravity describing static and spherically-symmetric black holes in an asymptotically de Sitter universe is constructed and analyzed. Special emphasis is put on the degenerate configurations (when at least two horizons coincide) and their near horizon geometry. It is explicitly demonstrated that approximating the metric potentials in the region between the horizons by simple functions and making use of a limiting procedure one obtains the solutions constructed from maximally symmetric subspaces with different absolute values of radii. Topologically they are $Ad{S}_2\times S^2$ for the cold black hole, $d{S}_2\times S^2$ when the event and cosmological horizon coincide, and the Plebański- Hacyan solution for the ultraextremal black hole. A physically interesting solution describing the lukewarm black holes is briefly analyzed

References in corpus (5)

• Entropy of an extremal regular black hole
• Impulsive waves in electrovac direct product spacetimes with Lambda
• Vacuum polarization for lukewarm black holes
• Some remarks on the Einstein and Møller pseudotensors for static and spherically-symmetric configurations
• Some general properties of the renormalized stress-energy tensor for static quantum states on (n+1)-dimensional spherically symmetric black holes