• 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}
}
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

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References

SHOWING 1-10 OF 20 REFERENCES

Black Holes and Causal Structure in Anti-de Sitter Isometric Spacetimes

The observation that the (2 + 1)-dimensional BTZ black hole can be obtained as a quotient space of anti-de Sitter space leads one to ask what causal behaviour other such quotient spaces can display.

Anti-de Sitter space and black holes

Anti-de Sitter space with identified points give rise to black-hole structures. This was first pointed out in three dimensions and generalized to higher dimensions by Aminneborg et al. In this paper,

Making anti-de Sitter black holes

It is known from the work of Banados et al that a spacetime with event horizons (much like the Schwarzschild black hole) can be obtained from (2 + 1)-dimensional anti-de Sitter space through a

Global geometry of the 2+1 rotating black hole

Regular Poisson structures on massive non-rotating BTZ black holes

Star products on extended massive non-rotating BTZ black holes

AdS 3 space-time admits a foliation by two-dimensional twisted conjugacy classes, stable under the identification subgroup yielding the non-rotating massive BTZ black hole. Each leaf constitutes a

Geometry of the 2+1 black hole.

The geometry of the spinning black holes of standard Einstein theory in 2+1 dimensions, with a negative cosmological constant, and without couplings to matter, is analyzed in detail. It is shown that

Noncommutative locally anti-de Sitter black holes

We give a review of our joint work on strict deformation of BHTZ 2+1 black holes \cite{BRS02,BDHRS03}. However some results presented here are not published elsewhere, and an effort is made for

Black hole in three-dimensional spacetime.

The standard Einstein-Maxwell equations in 2+1 spacetime dimensions, with a negative cosmological constant, admit a black hole solution that appears as a negative energy state separated by a mass gap from the continuous black hole spectrum.

Quotients of anti de Sitter space

We study the quotients of n+1-dimensional anti-de Sitter space by one-parameter subgroups of its isometry group SO(2,n) for general n. We classify the different quotients up to conjugation by O(2,n).