Quantum Geometry and Black Hole Entropy
نویسندگان
چکیده
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/4lP . 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. PACS: 04.60.-m, 04.70.Dy Typeset using REVTEX
منابع مشابه
On the fundamental length of quantum geometry and the black hole entropy
The geometric operators of area, volume, and length, depend on a fundamental length l of quantum geometry which is a priori arbitrary rather than equal to the Planck length lP . The fundamental length l and the Immirzi parameter γ determine each other. With any l the entropy formula is rendered most naturally in units of the length gap √ 3/2( √ γl). Independently of the choice of l, the black h...
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