Four-Dimensional Entropy from Three-Dimensional Gravity
General Relativity and Quantum Cosmology
2015-08-19 v3 High Energy Physics - Theory
Abstract
At the horizon of a black hole, the action of (3+1)-dimensional loop quantum gravity acquires a boundary term that is formally identical to an action for three-dimensional gravity. I show how to use this correspondence to obtain the entropy of the (3+1)-dimensional black hole from well-understood conformal field theory computations of the entropy in (2+1)-dimensional de Sitter space.
Cite
@article{arxiv.1503.02981,
title = {Four-Dimensional Entropy from Three-Dimensional Gravity},
author = {S. Carlip},
journal= {arXiv preprint arXiv:1503.02981},
year = {2015}
}
Comments
8 pages; v2: more references, typos fixed, minor rewording; v3: some clearer explanations in response to referees, more references