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Causal properties of AdS-isometry groups II. BTZ multi-black-holes. (English) Zbl 1153.83349
Summary: This paper is the continuation of Part I [Adv. Theor. Math. Phys. 12, No. 1, 1–66 (2008; Zbl 1151.83311)]. We essentially prove that the family of strongly causal space-times defined in Part I associated to generic achronal subsets in Ein$$_{2}$$ 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 space-time locally modeled on the anti-de Sitter space admits a well-defined maximal strongly causal conformal boundary locally modeled on Ein$$_{2}$$.

##### MSC:
 83C57 Black holes
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