Black hole size and phase space volumes
High Energy Physics - Theory
2007-06-27 v1
Abstract
For extremal black holes the fuzzball conjecture says that the throat of the geometry ends in a quantum `fuzz', instead of being infinite in length with a horizon at the end. For the D1-D5 system we consider a family of sub-ensembles of states, and find that in each case the boundary area of the fuzzball satisfies a Bekenstein type relation with the entropy enclosed. We suggest a relation between the `capped throat' structure of microstate geometries and the fact that the extremal hole was found to have zero entropy in some gravity computations. We examine quantum corrections including string 1-loop effects and check that they do not affect our leading order computations.
Cite
@article{arxiv.0706.3884,
title = {Black hole size and phase space volumes},
author = {Samir D. Mathur},
journal= {arXiv preprint arXiv:0706.3884},
year = {2007}
}