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Extremal Kerr black hole entropy in Poincar\'e gauge theory

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arxiv 2208.04383 v2 pith:OSPDMQGR submitted 2022-08-08 gr-qc hep-th

Extremal Kerr black hole entropy in Poincar\'e gauge theory

classification gr-qc hep-th
keywords blackholealgebraentropyextremalgaugehorizonkerr
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We analyze the near horizon symmetry of the extremal Kerr black hole within the framework of Poincar\'e gauge theory (PG) for two important limiting cases: Riemannian and teleparallel solution. We show that the algebra of canonical generators is realized by Virasoro algebra, with central charge which depends on the black hole horizon radius . The conformal entropy of the black hole is obtained via Cardy formula.

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Cited by 1 Pith paper

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  1. Near-horizon geometry with torsion: Kerr-AdS black hole

    gr-qc 2025-11 conditional novelty 6.0

    Covariant conditions are derived for a regular near-horizon limit with torsion, and a new Kerr-AdS black hole with torsion is constructed that satisfies them.