Phys. Rev. Lett. 82, 2828–2831 (1999)Black Hole Entropy from Conformal Field Theory in Any DimensionReceived 2 December 1998; published in the issue dated 5 April 1999 Restricted to a black hole horizon, the “gauge” algebra of surface deformations in general relativity contains a Virasoro subalgebra with a calculable central charge. The fields in any quantum theory of gravity must transform accordingly, i.e., they must admit a conformal field theory description. Applying Cardy's formula for the asymptotic density of states, I use this result to derive the Bekenstein-Hawking entropy. This method is universal—it holds for any black hole, and requires no details of quantum gravity—but it is also explicitly statistical mechanical, based on counting microscopic states. © 1999 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.82.2828
DOI:
10.1103/PhysRevLett.82.2828
PACS:
04.70.Dy, 04.60.Ds, 11.25.Hf
See AlsoComment: Mu-In Park and Jeongwon Ho, Comment on “Black Hole Entropy from Conformal Field Theory in Any Dimension”, Phys. Rev. Lett. 83, 5595 (1999). Reply: S. Carlip, Carlip Replies:, Phys. Rev. Lett. 83, 5596 (1999). |
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