Causal properties of AdS-isometry groups II: BTZ multi black-holes

Thierry Barbot

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Causal properties of AdS-isometry groups II: BTZ multi black-holes

Thierry Barbot

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Abstract

This paper is the continuation of [8]. We essentially prove that the familly of strongly causal spacetimes defined in [8] associated to generic achronal subsets in Ein contains all the examples of BTZ multi black-holes. It provides new elements for the global description of these multi black-holes. We also prove that any strongly causal spacetime locally modelled on the anti-de Sitter space admits a well-defined maximal strongly causal conformal boundary locally modelled on Ein.

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Thierry Barbot. 2006-02-07. Causal properties of AdS-isometry groups II: BTZ multi black-holes. https://arxiv.org/abs/math/0510065

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