Radiating black hole solutions in arbitrary dimensions

Details Radiating black hole solutions in arbitrary dimensions Radiating black hole solutions in arbitrary dimensions

2008-01-28

arxiv.org/abs/0801.4342v1

Gen.Rel.Grav.40:9-21,2008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

RevTeX 9 pages, no figures

Scientific paper

10.1007/s10714-007-0511-6

We prove a theorem that characterizes a large family of non-static solutions to Einstein equations in $N$-dimensional space-time, representing, in general, spherically symmetric Type II fluid. It is shown that the best known Vaidya-based (radiating) black hole solutions to Einstein equations, in both four dimensions (4D) and higher dimensions (HD), are particular cases from this family. The spherically symmetric static black hole solutions for Type I fluid can also be retrieved. A brief discussion on the energy conditions, singularities and horizons is provided.

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