Radiating black hole solutions in Einstein-Gauss-Bonnet gravity

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  • 3 January 2006
Abstract
In this paper, we find some new exact solutions to the Einstein-Gauss-Bonnet equations. Firstly, we prove a theorem which allows us to find a two-parametric 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(dS/AdS) 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 non-linear electrodynamics.

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