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arXiv · gr-qc/9710007

Quantum Geometry and Black Hole Entropy

A. Ashtekar·J. Baez·A. Corichi·K. Krasnov
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Abstract

A `black hole sector' of non-perturbative canonical quantum gravity is introduced. The quantum black hole degrees of freedom are shown to be described by a Chern-Simons field theory on the horizon. It is shown that the entropy of a large non-rotating black hole is proportional to its horizon area. The constant of proportionality depends upon the Immirzi parameter, which fixes the spectrum of the area operator in loop quantum gravity; an appropriate choice of this parameter gives the Bekenstein-Hawking formula S = A/4*l_p^2. With the same choice of the Immirzi parameter, this result also holds for black holes carrying electric or dilatonic charge, which are not necessarily near extremal.

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A. Ashtekar, J. Baez, A. Corichi, K. Krasnov. 1997-10-01. Quantum Geometry and Black Hole Entropy. https://doi.org/10.1103/physrevlett.80.904

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