Black holes and entropy in loop quantum gravity: An overview
arXiv:0901.1302
Abstract
Black holes in equilibrium and the counting of their entropy within Loop Quantum Gravity are reviewed. In particular, we focus on the conceptual setting of the formalism, briefly summarizing the main results of the classical formalism and its quantization. We then focus on recent results for small, Planck scale, black holes, where new structures have been shown to arise, in particular an effective quantization of the entropy. We discuss recent results that employ in a very effective manner results from number theory, providing a complete solution to the counting of black hole entropy. We end with some comments on other approaches that are motivated by loop quantum gravity.
17 pages, 5 figures. Extended version of the contribution for the proceedings of the 6th IGCG Conference and a contribution for Advanced Science Letters
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