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

This paper is the continuation of Causal properties of AdS-isometry groups I: causal actions and limit sets. We essentially prove that the family of strongly causal spacetimes defined in Causal properties of AdS-isometry groups I: causal actions and limit sets associated to generic achronal subsets in Ein₂ contains all the examples of BTZ multi-blackholes. It provides new elements for the global description of these multiblack-holes. We also prove that any strongly causal spacetime locally modeled on the anti-de Sitter space admits a well-defined maximal strongly causal conformal boundary locally modeled on Ein₂.

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Published 1 January 2008