Radiating black hole solutions in Einstein-Gauss-Bonnet gravity

TL;DR

This paper derives new exact dynamic black hole solutions in Einstein-Gauss-Bonnet gravity, including charged and radiating black holes, expanding the understanding of higher-dimensional black hole configurations.

Contribution

It introduces a theorem to generate a broad family of solutions in Einstein-Gauss-Bonnet gravity, including several new physical black hole solutions.

Findings

Found a large family of dynamic black hole solutions.

Included solutions with charge, radiation, and nonlinear electrodynamics.

Extended the theorem to less restrictive energy-momentum conditions.

Abstract

In this paper, we find some new exact solutions to the Einstein-Gauss-Bonnet equations. First, we prove a theorem which allows us to find a large family of solutions to the Einstein-Gauss-Bonnet gravity in $n$-dimensions. This family of solutions represents dynamic black holes and contains, as particular cases, not only the recently found Vaidya-Einstein-Gauss-Bonnet black hole, but also other physical solutions that we think are new, such as, the Gauss-Bonnet versions of the Bonnor-Vaidya(de Sitter/anti-de Sitter) solution, a global monopole and the Husain black holes. We also present a more general version of this theorem in which less restrictive conditions on the energy-momentum tensor are imposed. As an application of this theorem, we present the exact solution describing a black hole radiating a charged null fluid in a Born-Infeld nonlinear electrodynamics.