Brief review on black hole loop quantization

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---Nordström 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.

49 pages, several typos have been corrected, corrections included in order to match the published version

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Cited by in corpus (18)

• Geodesically complete black holes
• Spherically symmetric loop quantum gravity: analysis of improved dynamics
• On effective loop quantum geometry of Schwarzschild interior
• Exponential fading to white of black holes in quantum gravity
• Breaking of isospectrality of quasinormal modes in nonrotating loop quantum gravity black holes
• Status of Birkhoff's theorem in polymerized semiclassical regime of Loop Quantum Gravity
• Towards a quantum notion of covariance in spherically symmetric loop quantum gravity
• Constraining the loop quantum gravity parameter space from phenomenology
• Quantum fields in the background spacetime of a loop quantum gravity black hole
• Black holes in multi-fractional and Lorentz-violating models
• Rainbow-like Black Hole metric from Loop Quantum Gravity
• Nonexistence of quantum black and white hole horizons in an improved dynamic approach
• A dialog on the fate of information in black hole evaporation
• Quantum geometry and black holes
• On the improved dynamics approach in loop quantum black holes
• A new quantization scheme of black holes in effective loop quantum gravity
• Distributional Schwarzschild Geometry from nonsmooth regularization via Horizon. Disributional Rindler spacetime with disributional Levi-Cività connection induced vacuum dominance.Unruh effect revisited
• Spacetime Quanta? : The Discrete Spectrum of a Quantum Spacetime Four-Volume Operator in Unimodular Loop Quantum Cosmology