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.

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

References in corpus (2)

• Quantum geometry and microscopic black hole entropy
• Considering boundary conditions for black hole entropy in loop quantum gravity

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