Black hole horizons from within loop quantum gravity

Abstract

In general relativity, the fields on a black hole horizon are obtained from those in the bulk by pullback and restriction. Similarly, in quantum gravity, the quantized horizon degrees of freedom should result from restricting, or pulling-back, the quantized bulk degrees of freedom. This is not yet fully realized in the - otherwise very successful - quantization of isolated horizons in loop quantum gravity. In this work we outline a setting in which the quantum horizon degrees of freedom are simply components of the quantized bulk degrees of freedom. There is no need to quantize them separately. We present evidence that for a horizon of sphere topology, the resulting horizon theory is remarkably similar to what has been found before.

13 pages, 10 figures, RevTeX 4.1; v3: corrected typos etc.; now virtually identical with published version

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Cited by in corpus (29)

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• Chern-Simons expectation values and quantum horizons from LQG and the Duflo map
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• Dynamical evaporation of quantum horizons
• Anyonic statistics and large horizon diffeomorphisms for Loop Quantum Gravity Black Holes
• The thermodynamic limit and black hole entropy in the area ensemble
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• Towards quantum gravity with neural networks: Solving quantum Hamilton constraints of 3d Euclidean gravity in the weak coupling limit
• Extensions of the Duflo map and Chern-Simons expectation values
• Aspects of quantum gravity
• Quantum surface holonomies for loop quantum gravity and their application to black hole horizons
• New insights in quantum geometry
• Entropy of Causal Horizons