Brief review on black hole loop quantization

TL;DR

This review discusses the application of loop quantum gravity techniques to spherically symmetric black hole spacetimes, highlighting singularity resolution, geometric discretization, and implications for black hole physics.

Contribution

It provides a comprehensive overview of models in loop quantum gravity for black holes, including recent extensions to matter and quantum field effects.

Findings

Classical singularities are resolved in loop quantum models.

Quantum geometries exhibit intrinsic discretization.

Quantum effects influence black hole evolution and radiation phenomena.

Abstract

Here, we present a review about the quantization of spherically-symmetric spacetimes adopting loop quantum gravity techniques. Several models that have been studied so far share similar properties: the resolution of the classical singularity and some of them an intrinsic discretization of the geometry. We also explain the extension to Reissner---Nordstr\"om black holes. Besides, we review how quantum test fields on these quantum geometries allow us to study phenomena, like the Casimir effect or Hawking radiation. Finally, we briefly describe a recent proposal that incorporates spherically-symmetric matter, discussing its relevance for the understanding of black hole evolution.