• Corpus ID: 18610404

Black holes in symmetric spaces : anti-de Sitter spaces

@article{Claessens2005BlackHI,
  title={Black holes in symmetric spaces : anti-de Sitter spaces},
  author={Laurent Claessens and St'ephane Detournay},
  journal={arXiv: Differential Geometry},
  year={2005}
}

• Laurent Claessens, S. Detournay
• Published 20 October 2005
• Mathematics
• arXiv: Differential Geometry

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