Black hole size and phase space volumes

Samir D. Mathur

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arXiv · 0706.3884

Black hole size and phase space volumes

Samir D. Mathur

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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.

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Samir D. Mathur. 2007-06-26. Black hole size and phase space volumes. https://arxiv.org/abs/0706.3884

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