Entropies of Rotating Charged Black Holes from Conformal Field Theory at Killing Horizons

TL;DR

This paper uses conformal field theory techniques to compute the entropy of rotating charged black holes, showing agreement with the Bekenstein-Hawking entropy through a Virasoro algebra approach at Killing horizons.

Contribution

It introduces a method to derive black hole entropy from conformal field theory at Killing horizons for charged, rotating black holes.

Findings

Virasoro algebra with central charge constructed at the horizon

Conformal field theory density of states matches Bekenstein-Hawking entropy

Applicable to Kerr-Newman and Kerr-Newman-AdS black holes

Abstract

The covariant phase technique is used to compute the constraint algebra of the stationary axisymmetric charged black hole. A standard Virasoro subalgebra with corresponding central charge is constructed at a Killing horizon with Carlip's boundary conditions. For the Kerr-Newman black hole and the Kerr-Newman-AdS black hole, the density of states determined by conformal fields theory methods yields the statistical entropy which agrees with the Bekenstein-Hawking entropy.