What we don't know about BTZ black hole entropy

1998/06/30 by S. Carlip, S Carlip · 8 citations
Physics and Astronomy · #BTZ black hole #Black Holes and Theoretical Physics #Black hole (networking) #Black hole thermodynamics #Boltzmann's entropy formula #Degrees of freedom (physics and chemistry) #Entropy (arrow of time) #Noncommutative and Quantum Gravity Theories #Pulsars and Gravitational Waves Research #Spacetime #gr-qc #hep-th

paper · pdf · doi:10.1088/0264-9381/15/11/020

published as Class.Quant.Grav.15:3609-3625,1998 · 24 pages, LaTeX, no figures; references added, brief discussion of relation to string theory added; to appear in Class. Quant. Grav

arxiv created 1998/09/02 · openalex publication_date 1998/11/01 · arxiv updated 2010/04/28 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

With the recent discovery that many aspects of black hole thermodynamics can be effectively reduced to problems in three spacetime dimensions, it has become increasingly important to understand the `statistical mechanics' of the (2 + 1)-dimensional black hole of Bañados, Teitelboim, and Zanelli (BTZ). Several conformal field theoretic derivations of the BTZ entropy exist, but none is completely satisfactory, and many questions remain open: there is no consensus as to what fields provide the relevant degrees of freedom or where these excitations live. In this paper, I review some of the unresolved problems and suggest avenues for their solution.

Citations

• Black hole in three-dimensional spacetime
• Statistical mechanics and black hole thermodynamics
• Statistical mechanics of the (2+1)-dimensional black hole
• Quantum field theory and the Jones polynomial
• 2 + 1 dimensional gravity as an exactly soluble system
• Statistical mechanics of the three-dimensional Euclidean black hole
• Central charges in the canonical realization of asymptotic symmetries: An example from three dimensional gravity
• The (2 + 1)-dimensional black hole
• Geometry of the 2+1 Black Hole
• Supersymmetry of the (2+1)-dimensional black holes

Cited by

• Properties of bigravity solutions in a solvable class
• A particle probing thermodynamics in a three-dimensional black hole
• Black Hole Entropy from Conformal Field Theory in Any Dimension
• Entropy from conformal field theory at Killing horizons
• Black hole entropy from horizon conformal field theory
• Black hole entropy from the boundary conformal structure in 3D gravity with torsion
• Fundamental superstrings as holograms
• Near horizon hidden symmetry and entropy of Sultana-Dyer black hole: A time dependent case