Aspects of black hole quantum mechanics and thermodynamics in 2+1 dimensions

1994/05/30 by S. Carlip, Steven Carlip, Claudio Teitelboim +1 · 17 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #gr-qc #hep-th

paper · pdf · doi:10.1103/physrevd.51.622

published as Phys.Rev. D51 (1995) 622-631 · 20 pages and 2 figures, LaTeX, IASSNS-HEP-94/34 and UCD-94-13

arxiv created 1994/05/30 · openalex publication_date 1995/01/15 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We discuss the quantum mechanics and thermodynamics of the (2+1)-dimensional black hole, using both minisuperspace methods and exact results from Chern-Simons theory. In particular, we evaluate the first quantum correction to the black hole entropy. We show that the dynamical variables of the black hole arise from the possibility of a deficit angle at the (Euclidean) horizon, and briefly speculate as to how they may provide a basis for a statistical picture of black hole thermodynamics.

Citations

• Thermodynamic ensembles and gravitation
• The Stretched Horizon and Black Hole Complementarity
• Black Holes and Entropy
• Geometry of the 2+1 Black Hole

Cited by

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• On a spacetime duality in 2 + 1 gravity
• Quantum Field Theory on Curved Backgrounds. I. The Euclidean Functional Integral
• A spinning anti-de Sitter wormhole
• Quantum scalar field on the massless(2+1)-dimensional black hole background
• Embeddings of the Virasoro Algebra and Black Hole Entropy
• The (2 + 1)-dimensional black hole
• Logarithmic corrections to black hole entropy, from the Cardy formula
• Conformal field theory, (2 + 1)-dimensional gravity and the BTZ black hole
• Statistical mechanics of the (2+1)-dimensional black hole
• Statistical mechanics of the three-dimensional Euclidean black hole
• Phase transitions in warped AdS3 gravity
• Black hole entropy from the boundary conformal structure in 3D gravity with torsion
• Covariant description of the black hole entropy in 3D gravity