The Statistical Mechanics of the (2+1)-Dimensional Black Hole
arXiv:gr-qc/9409052 · doi:10.1103/PhysRevD.51.632
Abstract
The presence of a horizon breaks the gauge invariance of (2+1)-dimensional general relativity, leading to the appearance of new physical states at the horizon. I show that the entropy of the (2+1)-dimensional black hole can be obtained as the logarithm of the number of these microscopic states.
12 pages, UCD-94-32 and NI-94011
References in corpus (10)
- The Black Hole in Three Dimensional Space Time
- Geometry of the 2+1 Black Hole
- The Stretched Horizon and Black Hole Complementarity
- General Laws of Black-Hole Dynamics
- Aspects of Black Hole Quantum Mechanics and Thermodynamics in 2+1 Dimensions
- A truly marginal deformation of SL(2,R) in a null direction
- Black holes as quantum membranes: path integral approach
- The Global Phase Space Structure of the Wess-Zumino-Witten Model
- SL(2,R) Chern-Simons Theories with Rational Charges and Two-dimensional Conformal Field Theories
- Horizon quantization and thermodynamics of the 2+1 black hole
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