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Statistical Entropy of Three-dimensional Kerr-De Sitter Space

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arxiv hep-th/9806119 v2 pith:XPUIEV57 submitted 1998-06-15 hep-th

classification hep-th
keywords horizonspaceentropystatisticalformulakerr-desitteragreement
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

I consider the (2+1)-dimensional Kerr-De Sitter space and its statistical entropy computation. It is shown that this space has only one (cosmological) event horizon and there is a phase transition between the stable horizon and the evaporating horizon at a point $M^2={1/3}J^2/l^2$ together with a lower bound of the horizon temperature. Then, I compute the statistical entropy of the space by using a recently developed formulation of Chern-Simons theory with boundaries, and extended Cardy's formula. This is in agreement with the thermodynamics formula.

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Cited by 5 Pith papers

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

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    hep-th 2026-07 conditional novelty 6.5 of 10

    Near-extremal BTZ and warped BTZ in TMG receive log-T corrections from Schwarzian and rotational zero modes whose full-geometry eigenvalues match the throat after non-normalizable eigenfunction corrections and BC spec...

  3. An observer's quantization of 3d de Sitter

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  4. 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...

  5. Notes on solution phase space and BTZ black hole

    gr-qc 2024-11 accept novelty 3.0 of 10

    A detailed worked example showing that the solution phase space method reproduces the known mass, angular momentum, entropy, first law, and Smarr relation for the BTZ black hole and three-dimensional Kerr-dS spacetime.

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