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Entropy from Conformal Field Theory at Killing Horizons

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arxiv gr-qc/9906126 v2 pith:CGRLCZN6 submitted 1999-06-30 gr-qc hep-th

S. Carlip This is my paper · ORCID
classification gr-qchep-th
keywords boundaryentropyspacecentralconformaldensityfieldkilling
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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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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Hawking radiation from black holes in 2+1 dimensions

    gr-qc 2026-04 unverdicted novelty 6.0 of 10

    In 2+1 dimensions, black hole horizons are quantized into lengths 8π ℓ_P n, from which a length ensemble directly yields the Hawking blackbody spectrum with Tolman-modified temperature.

  2. The Cardy Formula from Goldstone Bosons

    hep-th 2019-07 unverdicted novelty 6.0 of 10

    Derives the Cardy formula for 2D CFTs from the Schwarzian action of pseudo Goldstone bosons under anomalous conformal symmetry breaking, without modular invariance.

  3. Holography in flipped AdS/$\mathbb{Z}$: Another approach to dS holography

    hep-th 2026-08 conditional novelty 5.0 of 10

    Quantum field theories in de Sitter space and in a signature-flipped compact-time spacetime (fAdS) are related by analytic continuation, and the proposed fAdS/fCFT holographic dictionary reproduces de Sitter horizon e...

  4. The first law of black hole thermodynamics for Taub-NUT spacetime

    gr-qc 2019-08 conditional novelty 4.0 of 10

    The NUT parameter n is reinterpreted as producing rotation along Misner strings, giving a modified first law dM = T d(A/4G) + (1/n)d(Mn) - (1/(2n))d(nr+/G) for Lorentzian Taub-NUT spacetime.

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