Global geometry of the 2+1 rotating black hole

Abstract

The generic rotating BTZ black hole, obtained by identifications in AdS3 space through a discrete subgroup of its isometry group, is investigated within a Lie theoretical context. This space is found to admit a foliation by two-dimensional leaves, orbits of a two-parameter subgroup of SL(2,R) and invariant under the BTZ identification subgroup. A global expression for the metric is derived, allowing a better understanding of the causal structure of the black hole.

arXiv comment9 pages, 1 figure

References in corpus (3)

• The Black Hole in Three Dimensional Space Time
• Geometry of the 2+1 Black Hole
• Regular Poisson structures on massive non-rotating BTZ black holes

Cited by in corpus (9)

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• Quotients of AdS_{p+1} x S^q: causally well-behaved spaces and black holes
• Star products on extended massive non-rotating BTZ black holes
• The BTZ spacetime as an algebraic embedding
• Supersymmetric Kaluza-Klein reductions of AdS backgrounds
• Deformations of anti-de Sitter black holes
• Locally anti de Sitter spaces and deformation quantization
• Black holes in symmetric spaces : anti-de Sitter spaces
• The horizon of the BTZ black hole