Black holes in symmetric spaces : Anti-de Sitter spaces

Claessens, Laurent;Detournay, Stephane

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Abstract
(en) 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. Comment: 23 pages, no figure
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Black holes in symmetric spaces : Anti-de Sitter spaces. (n.d.). https://hdl.handle.net/2078.5/256793