Flux-area operator and black hole entropy

Abstract

We show that, for space-times with inner boundaries, there exists a natural area operator different from the standard one used in loop quantum gravity. This new flux-area operator has equidistant eigenvalues. We discuss the consequences of substituting the standard area operator in the Ashtekar-Baez-Corichi-Krasnov definition of black hole entropy by the new one. Our choice simplifies the definition of the entropy and allows us to consider only those areas that coincide with the one defined by the value of the level of the Chern-Simons theory describing the horizon degrees of freedom. We give a prescription to count the number of relevant horizon states by using spin components and obtain exact expressions for the black hole entropy. Finally we derive its asymptotic behavior, discuss several issues related to the compatibility of our results with the Bekenstein-Hawking area law and the relation with Schwarzschild quasi-normal modes.

25 pages

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Cited by in corpus (25)

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• Detailed black hole state counting in loop quantum gravity
• The Fine Structure of SU(2) Intertwiners from U(N) Representations
• Potential gravitational-wave signatures of quantum gravity
• On the "Universal" Quantum Area Spectrum
• CFT/Gravity Correspondence on the Isolated Horizon
• Dynamical Love for area quantized black holes
• Statistical description of the black hole degeneracy spectrum
• BF Theory Explanation of the Entropy for Non-rotating Isolated Horizons
• Entropy of black holes with arbitrary shapes in loop quantum gravity
• Observations on interfacing loop quantum gravity with cosmology
• The thermodynamic limit and black hole entropy in the area ensemble
• The Wald entropy formula and loop quantum gravity
• The thermodynamics of isolated horizons in loop quantum gravity
• The Entropy of Higher Dimensional Nonrotating Isolated Horizons from Loop Quantum Gravity
• Reformulation of Boundary BF Theory Approach to Statistical Explanation of the Entropy of Isolated Horizons
• Formation and Stability of Area Quantized Black Holes
• Evaporation Spectrum of Black Holes from a Local Quantum Gravity Perspective
• Quasinormal modes and horizon area quantisation in Loop Quantum Gravity
• The Entropy of Nonrotating Isolated Horizons in Lovelock Theory from Loop Quantum Gravity
• Superradiant instability of area quantized Kerr black hole with discrete reflectivity
• Effects of quantum geometry on the decoherence induced by black holes
• Loop quantum gravity - a short review
• Horizon quantum geometries and decoherence
• Black Hole Entropy in Loop Quantum Gravity and Number Theory