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Extremal and nonextremal Kerr/CFT correspondences

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arxiv 1101.5136 v3 pith:T7HYL2AR submitted 2011-01-26 gr-qc hep-th

classification gr-qchep-th
keywords entropyhorizonkerrnonextremalcentralchargeextremaltemperature
verification ladder T0 review T1 audit T2 compute T3 formal
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I rederive the Kerr/CFT correspondence without first taking the near-horizon extremal Kerr limit. This method extends easily to nonextremal black holes, for which the temperature and central charge behave poorly at the horizon but the entropy remains finite. A computation yields one-half of the standard Bekenstein-Hawking entropy, with hints that the other half may be related to a conformal field theory at the inner horizon. I then present an alternative approach, based on a stretched Killing horizon, in which the full entropy is obtained and the temperature and central charge remain well-behaved even in the nonextremal case.

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  1. Extended Near Horizon Symmetries of Extremal BTZ Black Holes in 3D Massive Gravity

    hep-th 2024-12 conditional novelty 6.0 of 10

    Near-horizon extremal BTZ black holes in NMG and TMG carry two Virasoro algebras whose central charges equal their spatial-infinity values.

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