Quantum Geometry and Black Hole Entropy

A. Ashtekar, J. Baez, A. Corichi, and K. Krasnov
Phys. Rev. Lett. 80, 904 – Published 2 February 1998
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Abstract

A “black hole sector” of nonperturbative 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 nonrotating 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/4P2. 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.

  • Received 1 October 1997

DOI:https://doi.org/10.1103/PhysRevLett.80.904

©1998 American Physical Society

Authors & Affiliations

A. Ashtekar1, J. Baez2, A. Corichi1,3, and K. Krasnov1

  • 1Physics Department, Pennsylvania State University, University Park, Pennsylvania 16802
  • 2Department of Mathematics, University of California, Riverside, California 92521
  • 3Instituto de Ciencias Nucleares, UNAM, A. Postal 70-543, México D.F. 04510, México

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Issue

Vol. 80, Iss. 5 — 2 February 1998

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