Action and Entropy of Extreme and Non-Extreme Black Holes

Abstract

The Hamiltonian actions for extreme and non-extreme black holes are compared and contrasted and a simple derivation of the lack of entropy of extreme black holes is given. In the non-extreme case the wave function of the black hole depends on horizon degrees of freedom which give rise to the entropy. Those additional degrees of freedom are absent in the extreme case.

10pp, IASSNS-HEP-94/84

References in corpus (2)

• Entropy, Area, and Black Hole Pairs
• Black Hole Entropy and the Dimensional Continuation of the Gauss-Bonnet Theorem

Cited by in corpus (121)

• Lectures on holographic methods for condensed matter physics
• Charged AdS Black Holes and Catastrophic Holography
• The Gravitational Hamiltonian, Action, Entropy, and Surface Terms
• GRAVITY AND GLOBAL SYMMETRIES
• Black holes with unusual topology
• Black Hole Entropy without Brick Walls
• Black Hole Thermodynamics
• Universality of Quantum Entropy for Extreme Black Holes
• Topology, Entropy and Witten Index of Dilaton Black Holes
• Thermal Fields, Entropy, and Black Holes
• How the Change in Horizon Area Drives Black Hole Evaporation
• Generalized Black Holes in Three-dimensional Spacetime
• Boundary dynamics and the statistical mechanics of the 2+1 dimensional black hole
• Extremal limits and black hole entropy
• Internal Structure of Black Holes
• The Hamiltonian Dynamics of Bounded Spacetime and Black Hole Entropy: The Canonical Method
• Complex actions in two-dimensional topology change
• Thermodynamics of Quantum Fields in Black Hole Backgrounds
• A Quantum Mechanical Model of the Reissner-Nordstrom Black Hole
• Action and entropy of black holes in spacetimes with a cosmological constant
• Breaking Cosmic Strings without Monopoles
• On One-loop Quantum Corrections to the Thermodynamics of Charged Black Holes
• BTZ Black Hole with Gravitational Chern-Simons: Thermodynamics and Statistical Entropy
• TWO DIMENSIONAL DILATON GRAVITY COUPLED TO AN ABELIAN GAUGE FIELD
• Electrically charged black hole with scalar hair
• Hamiltonian thermodynamics of the Schwarzschild black hole
• Critical behavior in 2+1 dimensional black holes
• The RN/CFT Correspondence
• Instability of Extremal Relativistic Charged Spheres
• Geometry of nonextreme black holes near the extreme state
• Entropy and Topology for Gravitational Instantons
• Quasinormal Modes of Extremal BTZ Black Hole
• The action for higher spin black holes in three dimensions
• Towards a bulk description of higher spin SYK
• Semiclassical Black Hole States and Entropy
• Canonical entropy of three-dimensional BTZ black hole
• Entropy of quasiblack holes
• Black holes as bubbles of AdS
• Inextendible Schwarzschild black hole with a single exterior: How thermal is the Hawking radiation?
• The Cardy-Verlinde formula and entropy of Topological Kerr-Newman black holes in de Sitter spaces
• Quantum Correction to the Entropy of the (2+1)-Dimensional Black Hole
• Synchronous frequencies of extremal Kerr black holes: resonances, scattering and stability
• Entropy of extremal black holes from entropy of quasiblack holes
• Hypersymmetry bounds and three-dimensional higher-spin black holes
• On the third law of black hole dynamics
• Laws of Black Hole Mechanics from Holst Action
• Dirty rotating black holes: regularity conditions on stationary horizons
• On the Brown-York quasilocal energy, gravitational charge, and black hole horizons
• Can nonextremal Reissner-Nordstrom black hole become extremal by assimilating infalling charged particle and shell?
• Dynamics of Extreme Black Holes and Massive String States
• Extremal black holes, gravitational entropy and nonstationary metric fields
• Algebraic Renormalization of $N=1$ Supersymmetric Gauge Theories
• Enhanced Ehlers Transformation and the Majumdar-Papapetrou-NUT Spacetime
• On the Entropy Function and the Attractor Mechanism for Spherically Symmetric Extremal Black Holes
• One-loop Quantum Corrections to the Entropy for an Extremal Reissner-Nordström Black Hole
• Fermions scattering in a three dimensional extreme black hole background
• Charge Conservation, Entropy Current, and Gravitation
• Thermodynamics of black holes with an infinite effective area of a horizon
• Critical behavior for the dilaton black holes
• The phase structure of black D1/D5 (F/NS5) system in canonical ensemble
• Hawking radiation from extremal and non-extremal black holes
• Entropy of an extremal electrically charged thin shell and the extremal black hole
• Two kinds of extreme black holes and their classification
• Radiation from the extremal black holes
• Microcanonical functional integral and entropy for eternal black holes
• CFT description of three-dimensional Hawking-Page transition
• The Black Hole Entropy Can Be Smaller than A/4
• Evidence for a null entropy of extremal black holes
• Entropy of extremal black holes: horizon limits through charged thin shells, a unified approach
• Fubini instantons in Dilatonic Einstein-Gauss-Bonnet theory of gravitation
• Bubbles and Black Branes in Grand Canonical Ensemble
• The enriched phase structure of black branes in canonical ensemble
• Phase transition for black holes in dilatonic Einstein-Gauss-Bonnet theory of gravitation
• Quantum corrections for the Reisner-Nordstrom black hole
• Unified approach to the entropy of an extremal rotating BTZ black hole: Thin shells and horizon limits
• Supersymmetric black holes in string theory
• Phase transitions in charged topological black holes dressed with a scalar hair
• Quantization of Black Holes in the Wheeler-DeWitt Approach
• Geometry of the extreme Kerr black holes
• Geometry and topology of two kinds of extreme Reissner-Nordstr$\ddot{o}$m-anti-de Sitter black holes
• Thermodynamics of extremal rotating thin shells in an extremal BTZ spacetime and the extremal black hole entropy
• Compact objects in general relativity: From Buchdahl stars to quasiblack holes
• Quantum entropy of two-dimensional extreme charged dilaton black hole
• Generic weak isolated horizons
• The non-minimally coupled gravitating vortex: phase transition at critical coupling ${\xi }_c$ in AdS${}_3$
• The Highly Damped Quasinormal Modes of Extremal Reissner-Nordström and Reissner-Nordström-de Sitter Black Holes
• Entropy, topology of two-dimensional extreme black holes
• Effective spatial dimension of extremal non-dilatonic black p-branes and the description of entropy on the world volume
• Entropy of Extremal Black Holes in Two Dimensions
• Black hole thermodynamics from quantum gravity
• Solution Independent Analysis of Black Hole Entropy in Brick Wall Model
• Adiabatic evolution of Hayward black hole
• Entropy from the foam II
• Adiabatic analysis of the rotating BTZ black hole
• AdS3 Gravitational Instantons from Conformal Field Theory
• Black holes with constant topological Euler density
• Growing Hair on the extremal $BTZ$ black hole
• A Schwarzian on the Stretched Horizon
• New divergences of tachyon in the two-dimensional charged black holes
• A Tale of Two Horizons
• Fermion Absorption Cross Section and Topology of Spherically Symmetric Black Holes
• Regular self-consistent geometries with infinite quantum backreaction in 2D dilaton gravity and black hole thermodynamics: unfamiliar features of familiar models
• Instability of a two-dimensional extremal black hole
• Universal properties from local geometric structure of Killing horizon
• Horizon Mechanics and Asymptotic Symmetries with a Immirzi-like Parameter in 2+1 Dimensions
• Two-dimensional extremal black holes
• Black Hole Entropy and String Instantons
• Brane Splitting via Quantum Tunneling
• Modification of black-hole entropy by strings
• Thermodynamic Geodesics of a Reissner Nordström Black Hole
• Asymptotic symmetries on Kerr--Newman horizon without anomaly of diffeomorphism invariance
• Carathéodory's thermodynamics of the Schwarzschild black hole surrounded by quintessence
• Entropy of extreme three-dimensional charged black holes
• Chaotic Dynamics in Extremal Black Holes: A Challenge to the Chaos Bound
• Semiclassical quantum states for black holes
• Agujeros negros clasicos y cuanticos en teoria de cuerdas
• Holographic renormalization in no-boundary quantum cosmology
• A thermodynamical model for non-extremal black p-brane
• 2+1 Black Hole with a Dynamical Conical Singularity
• The quantum mass gap of extremal black holes
• Classical and Quantum Thermodynamic Systems in Curved Spacetime