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arXiv · 2208.04383

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

Branislav Cvetković·Danilo Rakonjac
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Abstract

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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Branislav Cvetković, Danilo Rakonjac. 2022-08-08. Extremal Kerr black hole entropy in Poincar\'e gauge theory. https://doi.org/10.1103/physrevd.107.044054

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