Phase-space and Black Hole Entropy of Higher Genus Horizons in Loop Quantum Gravity

Abstract

In the context of loop quantum gravity, we construct the phase-space of isolated horizons with genus greater than 0. Within the loop quantum gravity framework, these horizons are described by genus g surfaces with N punctures and the dimension of the corresponding phase-space is calculated including the genus cycles as degrees of freedom. From this, the black hole entropy can be calculated by counting the microstates which correspond to a black hole of fixed area. We find that the leading term agrees with the A/4 law and that the sub-leading contribution is modified by the genus cycles.

arXiv comment22 pages, 9 figures. References updated. Minor changes to match version to appear in Class. Quant. Grav

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• Black hole horizons from within loop quantum gravity
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• Anisotropic Structures and Wormholes with Loop Quantum Gravity Holonomy Corrections
• A Note on the Symmetry Reduction of SU(2) on Horizons of Various Topologies
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