Lectures in (2+1)-Dimensional Gravity

Abstract

These lectures briefly review our current understanding of classical and quantum gravity in three spacetime dimensions, concentrating on the quantum mechanics of closed universes and the (2+1)-dimensional black hole. Three formulations of the classical theory and three approaches to quantization are discussed in some detail, and a number of other approaches are summarized. An extensive, although by no means complete, list of references is included. (Lectures given at the First Seoul Workshop on Gravity and Cosmology, February 24-25, 1995.)

42 pages, LaTeX, four eps figures (two figures from picture environment now replaced by eps figures to accomodate old versions of LaTeX; three references corrected)

References in corpus (5)

• Hamiltonian thermodynamics of the Schwarzschild black hole
• A definition of the Ponzano-Regge quantum gravity model in terms of surfaces
• Comparative Quantizations of (2+1)-Dimensional Gravity
• Large Diffeomorphisms in (2+1)-Quantum Gravity on the Torus
• Chern-Simons Quantization of (2+1)-Anti-De Sitter Gravity on a Torus

Cited by in corpus (18)

• Three-Dimensional Quantum Gravity, Chern-Simons Theory, and the A-Polynomial
• Quantum Gravity in 2+1 Dimensions: The Case of a Closed Universe
• QSD IV : 2+1 Euclidean Quantum Gravity as a model to test 3+1 Lorentzian Quantum Gravity
• Thermodynamics and phase transitions in the Born-Infeld-anti-de Sitter black holes
• Strings, loops and others: a critical survey of the present approaches to quantum gravity
• Thermodynamics of Einstein-Born-Infeld black holes in three dimensions
• Discrete Space-Time Volume for 3-Dimensional BF Theory and Quantum Gravity
• Conformal Boundary Conditions from Cutoff AdS${}_3$
• Metric dimensional reduction at singularities with implications to Quantum Gravity
• Black Holes on Thin 3-branes of Codimension-2 and their Extension into the Bulk
• On the Weyl Curvature Hypothesis
• The Geometry of Black Hole singularities
• Singular General Relativity
• Milne and Torus Universes Meet
• Vanishing dimensions: Review
• Warped Flatland
• An Exploration of the Singularities in General Relativity
• Spontaneous decoherence as a result of randomness in the flow of time