# 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} }

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

## 2 Citations

### Deformation of D-branes in three-dimensional anti-de Sitter black holes

- Physics
- 2006

This talk discusses the possible extension of the relation between string theory and noncommutative geometry to the case of BTZ black holes. After emphasizing some geometrical properties of these…

### Deformation of D-branes in three-dimensional anti-de Sitter black holes

- Physics
- 2006

This talk discusses the possible extension of the relation between string theory and noncommutative geometry to the case of BTZ black holes. After emphasizing some geometrical properties of these…

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