Exact Results for the BTZ Black Hole

Details Exact Results for the BTZ Black Hole Exact Results for the BTZ Black Hole

2001-02-22

arxiv.org/abs/hep-th/0102155v2

Int.J.Mod.Phys. D10 (2001) 833-858

Physics

High Energy Physics

High Energy Physics - Theory

24 pages, Latex, Review article to appear in Int. J. Mod. Phys. D, v2 additional references

Scientific paper

10.1142/S0218271801001207

In this review, we summarize exact results for the three-dimensional BTZ black hole. We use rigorous mathematical results to clarify the general structure and properties of this black hole spacetime and its microscopic description. In particular, we study the formation of the black hole by point particle collisions, leading to an exact analytic determination of the Choptuik scaling parameter. We also show that a `No Hair Theorem' follows immediately from a mathematical theorem of hyperbolic geometry, due to Sullivan. A microscopic understanding of the Bekenstein-Hawking entropy, and decay rate for massless scalars, is shown to follow from standard results of conformal field theory.

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