Black holes and entropy in loop quantum gravity: An overview

Understand

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.