English

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

General Relativity and Quantum Cosmology 2023-03-08 v2 High Energy Physics - Theory

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.

Keywords

Cite

@article{arxiv.2208.04383,
  title  = {Extremal Kerr black hole entropy in Poincar\'e gauge theory},
  author = {Branislav Cvetković and Danilo Rakonjac},
  journal= {arXiv preprint arXiv:2208.04383},
  year   = {2023}
}

Comments

LaTex 14 pages; v2 revised version, two references added