Les Houches Lectures on Black Holes

Abstract

Contents: 1. Introduction 2. Causal Structure and Penrose Diagrams: Minkowski Space; 1+1 Dimensional Minkowski Space; Schwarzchild Black Holes; Gravitational Collapse and the Vaidya Spacetimes; Event Horizons, Apparent Horizons, and Trapped Surfaces 3. Black Holes in Two Dimensions: General Relativity in the $S$-Wave Sector; Classical Dilaton Gravity; Eternal Black Holes; Coupling to Conformal Matter; Hawking Radiation and the Trace Anomaly; The Quantum State; Including the Back-Reaction; The Large $N$ Approximation; Conformal Invariance and Generalizations of Dilaton Gravity; The Soluble $RST$ Model 4. The Information Puzzle in Four Dimensions: Can the Information Come Out Before the Endpoint?; Low-Energy Effective Descriptions of the Planckian Endpoint; Remnants?; Information Destruction?; The Superposition Principle; Energy Conservation The New Rules; Superselection Sectors, $\alpha$-parameters, and the Restoration of Unitarity 5. Conclusions and Outlook

70 pages, 18 figures. Lectures presented at the 1994 Les Houches Summer School ``Fluctuating Geometries in Statistical Mechanics and Field Theory.'' (also available at http://xxx.lanl.gov/lh94/ )

References in corpus (3)

• A Unified Approach to Solvable Models of Dilaton Gravity in Two-Dimensions Based on Symmetry
• Unitary Rules for Black Hole Evaporation
• On Quantum Black Holes

Cited by in corpus (35)

• Eternal Black Holes in AdS
• Semiclassical relations and IR effects in de Sitter and slow-roll space-times
• Information loss problem and a `black hole' model with a closed apparent horizon
• The gravitational S-matrix
• Astrophysical implications of hypothetical stable TeV-scale black holes
• The causal structure of dynamical charged black holes
• Quantum mechanics: Myths and facts
• Dirac Constraint Quantization of a Dilatonic Model of Gravitational Collapse
• Conformal symmetry and its breaking in two dimensional Nearly Anti-de-Sitter space
• Notes on moving mirrors
• Finite-cutoff JT gravity and self-avoiding loops
• Is string theory a theory of quantum gravity?
• Background independent condensed matter models for quantum gravity
• Quantization of the String Inspired Dilaton Gravity and the Birkhoff Theorem
• Conformal equivalence of 2D dilaton gravity models
• Quantum gravity effects in the CGHS model of collapse to a black hole
• Black holes and thermodynamics - The first half century
• Non-local symmetries of the closed N=2 string
• The Geometry of Black Hole singularities
• General Solution for Self-Gravitating Spherical Null Dust
• Black hole evolution in quantum-gravitational framework
• Loop Corrections in the Spectrum of 2D Hawking Radiation
• Superluminal Travel Made Possible (in two dimensions)
• Schrödinger evolution of two-dimensional black holes
• Near-Extremal Black Hole Thermodynamics from AdS2/CFT1 Correspondence in The Low Energy Limit of 4D Heterotic String Theory
• General Static Spherical Solutions of d-dimensional Charged Dilaton Gravity Theories
• On Quantum Microstates in the Near Extremal, Near Horizon Kerr Geometry
• Baby universes and energy (non-)conservation in (1+1)-dimensional dilaton gravity
• Near-Extremal Kerr AdS2xS2 Solution and Black-Hole/Near-Horizion-CFT Duality
• Second Law of Black Hole Mechanics for all 2d Dilaton Theories
• Matters of Gravity, the newsletter of the Topical Group in Gravitation of APS
• Thermal Hair of Quantum Black Hole
• The 2D analogue of the Reissner-Nordstrom solution
• Lattice AdS Geometry and Continuum Limit
• Long-ranged forces and energy non-conservation in (1+1)-dimensions