2001/02/28 by Danny Birmingham, DANNY BIRMINGHAM, Ivo Sachs +3 · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #gr-qc #hep-th
paper · pdf · doi:10.1142/s0218271801001207
published as Int.J.Mod.Phys. D10 (2001) 833-858 · 24 pages, Latex, Review article to appear in Int. J. Mod. Phys. D, v2 additional references
arxiv created 2001/03/22 · openalex publication_date 2001/12/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
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.