Anti-de Sitter Quotients: When Are They Black Holes?

Abstract

We point out that the BTZ black holes, and their relatives, can be defined in a cleaner way than they originally were. The covering space can be taken to be anti-de Sitter space, period, while scri splits up into components due to Misner singularities. Our definition permits us to choose between two conflicting claims concerning BTZ black holes in 3+1 dimensions.

arXiv comment16 pages, 4 figures; minor polish added

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Cited by in corpus (6)

• Cosmic evolution from phase transition of 3-dimensional flat space
• Quantum Backreaction on Chronology Horizons
• Self-Supporting Wormholes in Four Dimensions with Scalar Field
• Anti-de Sitter Quotients, Bubbles of Nothing, and Black Holes
• Some examples of trapped surfaces
• Black holes submerged in Anti-de Sitter space