A Survey of Black Hole Thermodynamics

Abstract

This is an introductory, up-to-date review of the essentials of black hole thermodynamics. The main topics surveyed are: (i) the four laws of thermodynamics as applied to a black hole horizon, and the current status of their proofs; (ii) different definitions of horizons, and their unique properties; (iii) the nature of black hole entropy, its quantum and stringy corrections, and ultimate origin from quantum gravity microstates; (iv) the focusing law for the area/entropy; and finally (v) the holographic principle, and how we can use it to learn about the information inside black holes.

31 pages, 4 figures; v2 minor corrections

References in corpus (33)

• Black holes as mirrors: quantum information in random subsystems
• Complexity and Shock Wave Geometries
• Holographic representation of local bulk operators
• Causality & holographic entanglement entropy
• Entanglement entropy, conformal invariance and extrinsic geometry
• A holographic proof of the strong subadditivity of entanglement entropy
• Relative entropy and the Bekenstein bound
• Information Loss
• The 1965 Penrose singularity theorem
• Test bodies and naked singularities: is the self-force the cosmic censor?
• Bulk locality from modular flow
• Gedanken Experiments to Destroy a Black Hole II: Kerr-Newman Black Holes Cannot be Over-Charged or Over-Spun
• Spontaneous breaking of Lorentz invariance, black holes and perpetuum mobile of the 2nd kind
• Markov property of the CFT vacuum and the a-theorem
• Modular Hamiltonians on the null plane and the Markov property of the vacuum state
• Achronal averaged null energy condition
• Decoding the Apparent Horizon: A Coarse-Grained Holographic Entropy
• Proof of a Quantum Bousso Bound
• Unitarity and Holography in Gravitational Physics
• On the local well-posedness of Lovelock and Horndeski theories
• Entropy on a null surface for interacting quantum field theories and the Bousso bound
• Lorentz violation and perpetual motion
• Causality and Hyperbolicity of Lovelock Theories
• Teleportation Through the Wormhole
• Topological deformation of isolated horizons
• Entropy of Non-Extremal Black Holes from Loop Gravity
• Energy is Entanglement
• A Lower Bound on the Energy Density in Classical and Quantum Field Theories
• Inside Out: Meet The Operators Inside The Horizon
• Holographic Thought Experiments
• Shock Formation in Lovelock Theories
• Towards a second law for Lovelock theories
• The issue of zeroth law for Killing horizons in Lanczos-Lovelock gravity

Cited by in corpus (15)

• Quantum Gravitational Corrections to the Entropy of a Schwarzschild Black Hole
• Null Surface Thermodynamics
• Surface Theory: the Classical, the Quantum, and the Holographic
• No Violation of the Second Law in Extended Black Hole Thermodynamics
• Coarse-Graining Holographic States: A Semiclassical Flow in General Spacetimes
• The zeroth law of black hole thermodynamics in arbitrary higher derivative theories of gravity
• Constraining the topological Gauss-Bonnet coupling from GW150914
• Kinematics and dynamics of null hypersurfaces in the Einstein-Cartan spacetime and related thermodynamic interpretation
• Holographic Dual of The Weak Gravity Conjecture
• Exact Renormalization Group, Entanglement Entropy, and Black Hole Entropy
• Entanglement Entropy in Closed String Theory
• Generalized Second Law for Non-minimally Coupled Matter Theories
• Stability of horizon with pressure and volume of d-dimensional charged AdS black holes with cloud of strings and quintessence
• Unruh effect and entropy of Schwarzschild black hole
• An entropy current and the second law in higher derivative theories of gravity