Thermodynamics and Evaporation of the 2+1-D Black Hole

Abstract

The properties of canonical and microcanonical ensembles of a black hole with thermal radiation and the problem of black hole evaporation in 3-D are studied. In 3-D Einstein-anti-de Sitter gravity we have two relevant mass scales, $m_c=1/G$, and $m_p=({\hslash }^2\Lambda /G{)}^{1/3}$, which are particularly relevant for the evaporation problem. It is argued that in the `weak coupling' regime $\Lambda <(\hslash G{)}^{-2}$, the end point of an evaporating black hole formed with an initial mass $m_0>m_p$, is likely to be a stable remnant in equilibrium with thermal radiation. The relevance of these results for the information problem and for the issue of back reaction is discussed. In the `strong coupling' regime, $\Lambda >(\hslash G{)}^{-2}$ a full fledged quantum gravity treatment is required. Since the total energy of thermal states in anti-de Sitter space with reflective boundary conditions at spatial infinity is bounded and conserved, the canonical and microcanonical ensembles are well defined. For a given temperature or energy black hole states are locally stable. In the weak coupling regime black hole states are more probable then pure radiation states.

11 pages, TAUP 2141/94, Latex

References in corpus (14)

• The Black Hole in Three Dimensional Space Time
• Geometry of the 2+1 Black Hole
• Temperature, Energy, and Heat Capacity of Asymptotically Anti-De Sitter Black Holes
• Exact Three Dimensional Black Holes in String Theory
• Dimensionally Continued Black Holes
• Relating black holes in two and three dimensions
• Scalar field quantization on the 2+1 dimensional black hole background
• Gravitationally Collapsing Dust in $(2+1)$ Dimensions
• Miens of The Three Dimensional Black Hole
• Geodesic Structure of the 2 + 1 Black Hole
• Gauge Formulation of the Spinning Black Hole in (2+1)-Dimensional Anti-de Sitter Space
• Quantum fluctuation of stress tensor and black holes in three dimensions
• Motion and Trajectories of Particles Around Three-Dimensional Black Holes
• Entropy generation in 2+1-dimensional Gravity

Cited by in corpus (18)

• The (2+1)-Dimensional Black Hole
• Hawking Radiation from AdS Black Holes
• BTZ Black Hole with Gravitational Chern-Simons: Thermodynamics and Statistical Entropy
• Fake Supersymmetry and Extremal Black Holes
• Hawking-Page phase transition in BTZ black hole revisited
• Mass Spectrum and Statistical Entropy of the BTZ black hole from Canonical Quantum Gravity
• Primordial Black Hole Evaporation and Spontaneous Dimensional Reduction
• Three-Dimensional Gravity with Conformal Scalar and Asymptotic Virasoro Algebra
• Dynamical formation and evolution of (2+1)-dimensional charged black holes
• Gravitational solitons, hairy black holes and phase transitions in BHT massive gravity
• Regular Compact Objects with Scalar Hair
• On the thermal description of the BTZ black holes
• On Some New Black String Solutions in Three Dimensions
• Gravitational Effects of Quantum Fields in the Interior of a Cylindrical Black Hole
• BTZ black hole with KdV-type boundary conditions: Thermodynamics revisited
• AdS3 Gravitational Instantons from Conformal Field Theory
• Horizon quantization and thermodynamics of the 2+1 black hole
• On the existence of deformations and dimensional reduction in wormholes and black holes