Where are the BTZ Black Hole Degrees of Freedom?
General Relativity and Quantum Cosmology
2016-03-15 v2 High Energy Physics - Theory
Abstract
Previous derivations of the BTZ black hole entropy from a dual conformal description place the degrees of freedom at spatial infinity. Here it is shown for the non-rotating case that a dual conformal description exists at any location around the black hole, a result that has a strong physical appeal considering that in 2+1 dimensions there are no propagating degrees of freedom in the classical theory. Two copies of the central charge of are recovered, and the microcanonical Cardy formula yields the correct Bekenstein-Hawking entropy.
Keywords
Cite
@article{arxiv.1506.04343,
title = {Where are the BTZ Black Hole Degrees of Freedom?},
author = {Joseph M. Mitchell},
journal= {arXiv preprint arXiv:1506.04343},
year = {2016}
}
Comments
9 pages, 1 figure; reference added, minor changes