Entropy from Conformal Field Theory at Killing Horizons

Details Entropy from Conformal Field Theory at Killing Horizons Entropy from Conformal Field Theory at Killing Horizons

1999-06-30

arxiv.org/abs/gr-qc/9906126v2

Class.Quant.Grav.16:3327-3348,1999

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

26 pages, LaTeX; corrected typo and minor changes in Misner string section

Scientific paper

10.1088/0264-9381/16/10/322

On a manifold with boundary, the constraint algebra of general relativity may acquire a central extension, which can be computed using covariant phase space techniques. When the boundary is a (local) Killing horizon, a natural set of boundary conditions leads to a Virasoro subalgebra with a calculable central charge. Conformal field theory methods may then be used to determine the density of states at the boundary. I consider a number of cases---black holes, Rindler space, de Sitter space, Taub-NUT and Taub-Bolt spaces, and dilaton gravity---and show that the resulting density of states yields the expected Bekenstein-Hawking entropy. The statistical mechanics of black hole entropy may thus be fixed by symmetry arguments, independent of details of quantum gravity.

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