Quantum isolated horizons and black hole entropy

TL;DR

This paper reviews how loop quantum gravity models black holes as isolated horizons, focusing on classical modeling, canonical quantization, and combinatorial methods for entropy calculation.

Contribution

It provides a concise overview of the classical and quantum approaches to black hole entropy within loop quantum gravity, emphasizing the combinatorial techniques used.

Findings

Clarifies the classical isolated horizon framework

Explains the canonical quantization process in loop quantum gravity

Details the combinatorial methods for entropy counting

Abstract

We give a short introduction to the approaches currently used to describe black holes in loop quantum gravity. We will concentrate on the classical issues related to the modeling of black holes as isolated horizons, give a short discussion of their canonical quantization by using loop quantum gravity techniques, and a description of the combinatorial methods necessary to solve the counting problems involved in the computation of the entropy.