Dynamics of Asymptotic Diffeomorphisms in (2+1)-Dimensional Gravity
General Relativity and Quantum Cosmology
2010-04-28 v4 High Energy Physics - Theory
Abstract
In asymptotically anti-de Sitter gravity, diffeomorphisms that change the conformal boundary data can be promoted to genuine physical degrees of freedom. I show that in 2+1 dimensions, the dynamics of these degrees of freedom is described by a Liouville action, with the correct central charge to reproduce the entropy of the BTZ black hole.
Keywords
Cite
@article{arxiv.gr-qc/0501033,
title = {Dynamics of Asymptotic Diffeomorphisms in (2+1)-Dimensional Gravity},
author = {S. Carlip},
journal= {arXiv preprint arXiv:gr-qc/0501033},
year = {2010}
}
Comments
8 pages, LaTeX; v2: slightly expanded discussion of implications, more references; v3: more explicit comparison to Chern-Simons approach and discussion of role of constraints; v4: added discussion of relationships to and differences with earlier work, new and corrected references