Accelerating Kaluza-Klein black hole and Kerr/CFT correspondence

TL;DR

This paper introduces a new accelerating, charged, rotating Kaluza-Klein black hole solution in Einstein-Maxwell-dilaton theory, analyzing its properties and confirming the Kerr/CFT correspondence through entropy calculations.

Contribution

It presents a novel exact solution for accelerating Kaluza-Klein black holes and explores their holographic properties, extending the Kerr/CFT correspondence to this new class of solutions.

Findings

The Bekenstein-Hawking entropy matches the Cardy formula for extremal cases.

The area-temperature product equals that of the vacuum Einstein seed solution.

The solution exhibits unique electromagnetic and thermodynamic properties.

Abstract

We construct a new solution in the Einstein-Maxwell-dilaton theory describing accelerating, charged, and rotating black hole, i.e. the accelerating Kaluza-Klein black hole. Some properties the spacetime are discussed, such as the electromagnetic fields, the area-temperature product, and the holography according to Kerr/CFT correspondence. As expected, the macroscopic Bekenstein-Hawking entropy for an extremal accelerating Kaluza-Klein black hole can be recovered by using Cardy formula of a two dimensional conformal field theory. An interesting feature is found, namely the area-temperature product is just the the one belongs to the vacuum Einstein seed solution.