Extremal Kerr black hole/CFT correspondence in the five dimensional G\"odel universe

TL;DR

This paper extends the Kerr/CFT correspondence to extremal charged Kerr black holes in a five-dimensional G"odel universe, successfully matching microscopic and macroscopic entropy calculations.

Contribution

It introduces a novel application of Kerr/CFT correspondence to a five-dimensional G"odel universe setting, deriving microscopic entropies that align with Bekenstein-Hawking results.

Findings

Microscopic entropy matches Bekenstein-Hawking entropy.

Extended Kerr/CFT correspondence to five-dimensional G"odel universe.

Derived central charges and Frolov-Thorne temperatures for this setup.

Abstract

We extend the method of Kerr/CFT correspondence recently proposed in arXiv:0809.4266 [hep-th] to the extremal (charged) Kerr black hole embedded in the five-dimensional G\"{o}del universe. With the aid of the central charges in the Virasoro algebra and the Frolov-Thorne temperatures, together with the use of the Cardy formula, we have obtained the microscopic entropies that precisely agree with the ones macroscopically calculated by Bekenstein-Hawking area law.