CFT Duals for Accelerating Black Holes

TL;DR

This paper demonstrates that the Kerr/CFT correspondence applies to extremal accelerating black holes, including those in magnetic fields, successfully reproducing their entropy via a dual CFT model.

Contribution

It extends the Kerr/CFT correspondence to accelerating and magnetised extremal black holes, analyzing their near horizon geometry and entropy.

Findings

The near horizon geometry remains a warped product of AdS2 and S2 at extremality.

The CFT dual reproduces the black hole entropy via the Cardy formula.

The correspondence applies even with external magnetic fields.

Abstract

The near horizon geometry of the rotating C-metric, describing accelerating Kerr-Newman black holes, is analysed. It is shown that, at extremality, even though not it is isomorphic to the extremal Kerr-Newman, it remains a warped and twisted product of $AdS_2 \times S^2$. Therefore the methods of the Kerr/CFT correspondence can successfully be applied to build a CFT dual model, whose entropy reproduce, through the Cardy formula, the Beckenstein-Hawking entropy of the accelerating black hole. The mass of accelerating Kerr-Newman black hole, which fulfil the first law of thermodynamics, is presented. Further generalisation in presence of an external Melvin-like magnetic field, used to regularise the conical singularity characteristic of the C-metrics, shows that the Kerr/CFT correspondence can be applied also for the accelerating and magnetised extremal black holes.