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Theorem to generate non-spherical radiating black hole solutions. (English) Zbl 1179.83059

A family of non-spherically (plane, cylindrically or toroidally) symmetric radiating non-vacuum (type II fluid) black holes in anti-de Sitter background is found. Known non-spherical radiating and non-spherical static (with type I fluid) black hole solutions are particular cases in this family. Singularities, horizons and energy conditions are also discussed.

MSC:

83C57 Black holes
83C15 Exact solutions to problems in general relativity and gravitational theory
83C20 Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory
83C75 Space-time singularities, cosmic censorship, etc.
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