Extremal Kerr black hole entropy in Poincaré gauge theory

Abstract

We analyze the near horizon symmetry of the extremal Kerr black hole within the framework of Poincaré 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.

LaTex 14 pages; v2 revised version, two references added

References in corpus (4)

• Entropy in Poincaré gauge theory: Hamiltonian approach
• Entropy of Reissner-Nordström-like black holes
• Entropy in general relativity: Kerr-AdS black hole
• Thermodynamics of Riemannian Kerr-AdS black holes in Poincaré gauge theory

Cited by in corpus (3)

• Asymptotically AdS black hole with a conformally-coupled scalar field in the first-order formalism of gravity
• Near horizon symmetry of extremal spacelike-stretched black holes
• Near-horizon geometry with torsion: Kerr-AdS black hole