Black holes in symmetric spaces : anti-de Sitter spaces

Laurent Claessens; Stéphane Detournay

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Black holes in symmetric spaces : anti-de Sitter spaces

Laurent Claessens·Stéphane Detournay

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Abstract

Using symmetric space techniques, we show that closed orbits of the Iwasawa subgroups of $SO(2,l-1)$ naturally define singularities of a black hole causal structure in anti-de Sitter spaces in $l \geq 3$ dimensions. In particular, we recover for $l=3$ the non-rotating massive BTZ black hole. The method presented here is very simple and in principle generalizable to any semi-simple symmetric space.

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Laurent Claessens, Stéphane Detournay. 2005-10-20. Black holes in symmetric spaces : anti-de Sitter spaces. https://arxiv.org/abs/math/0510442

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