Hidden conformal symmetry for the accelerating Kerr black holes

TL;DR

This paper extends the Kerr/CFT correspondence to slowly accelerating Kerr black holes, demonstrating hidden conformal symmetry and matching entropy and scattering results with a 2D CFT model.

Contribution

It shows how Kerr/CFT duality applies to accelerating black holes, revealing hidden conformal symmetry and matching entropy and scattering data.

Findings

Hidden conformal symmetry in scalar equations

Matching Bekenstein-Hawking entropy via Cardy formula

Agreement in scattering processes between gravity and CFT

Abstract

According to Kerr/CFT correspondence, some aspects of extremal and non-extremal Kerr black holes could be explained by using a 2D CFT. This paper is devoted to show how Kerr/CFT correspondence can work for the slowly accelerating Kerr black holes, in both extremal and non-extremal cases. The equation of motion for low frequency scalar probes in the near region possesses the "hidden" conformal symmetry, similar to that of the non-accelerating version. Assuming a particular value of associated central charge, Cardy formula in 2D CFT can recover the Bekenstein-Hawking entropy for the black hole under consideration. Moreover, agreements in the scattering process between gravitational and 2D CFT dual suggest the existence of slowly accelerating Kerr/CFT duality.