Sectors of solutions in three-dimensional gravity and black holes

Sectors of solutions in Three-dimensional Gravity and Black Holes

We examine the connection between three dimensional gravity with negative cosmological constant and two-dimensional CFT via the Chern-Simons formulation. A set of generalized spectral flow transformations are shown to yield new sectors of solutions. One implication is that the microscopic calculation of the entropy of the Bañados-Teitelboim-Zanelli (BTZ) black hole is corrected by a multiplicat...

Black holes in three-dimensional topological gravity.

Notes on black holes and three dimensional gravity

These notes are the written version of two lectures delivered at the VIII Mexican School on Particles and Fields on November 1998. The level of the notes is basic assuming only some knowledge on Statistical Mechanics, General Relativity and Yang-Mills theory. After a brief introduction to the classical and semiclassical aspects of black holes, we review some relevant results on 2+1 quantum grav...

Twisted sectors in three-dimensional gravity

Twisted sectors –solutions to the equations of motion with nontrivial monodromies– of three dimensional Euclidean gravity are studied. We argue that upon quantization this new sector of the theory provides the necessary (and no more) degrees of freedom to account for the Bekenstein-Hawking entropy of three-dimensional black holes. PACS: 04.70.Dy; 04.60.Kz

Black Holes and Two - Dimensional Dilaton Gravity

We study the conditions for 2-dimensional dilaton gravity models to have dynamical formation of black holes and construct all such models. Furthermore we present a parametric representation of the general solutions of the black holes.