Black hole entropy for the general area spectrum

Abstract

We consider the possibility that the horizon area is expressed by the general area spectrum in loop quantum gravity and calculate the black hole entropy by counting the degrees of freedom in spin-network states related to its area. Although the general area spectrum has a complex expression, we succeeded in obtaining the result that the black hole entropy is proportional to its area as in previous works where the simplified area formula has been used. This gives new values for the Barbero-Immirzi parameter ($\gamma =\mathrm{0.5802...}\mathrm{or}\mathrm{0.7847...}$) which are larger than that of previous works.

arXiv comment5 pages

References in corpus (15)

• Microscopic Origin of the Bekenstein-Hawking Entropy
• Discreteness of area and volume in quantum gravity
• Quantum Geometry and Black Hole Entropy
• Quantum Theory of Gravity I: Area Operators
• A Covariant Entropy Conjecture
• Real Ashtekar Variables for Lorentzian Signature Space-times
• Black hole entropy in Loop Quantum Gravity
• Black Hole Entropy from Loop Quantum Gravity
• Spin Networks and Quantum Gravity
• Black hole entropy from Quantum Geometry
• Statistical Entropy of Four-Dimensional Extremal Black Holes
• Quantum Gravity and Regge Calculus
• The covariant entropy bound and loop quantum cosmology
• Phase-space and Black Hole Entropy of Higher Genus Horizons in Loop Quantum Gravity
• Spectroscopy of a canonically quantized horizon

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• The Entropy of Higher Dimensional Nonrotating Isolated Horizons from Loop Quantum Gravity
• Area spectrum of Schwarzschild black hole inspired by noncommutative geometry
• Reformulation of Boundary BF Theory Approach to Statistical Explanation of the Entropy of Isolated Horizons
• Quantum transitions of minimum energy for Hawking quanta in highly excited black holes: problems for loop quantum gravity?
• Approximation of the naive black hole degeneracy
• Black Hole Entropy in Loop Quantum Gravity and Number Theory