Removal of conical singularities from rotating C-metrics and dual CFT entropy

TL;DR

This paper presents a method to eliminate conical singularities in rotating C-metrics by embedding them into a swirling universe, and explores their entropy via Kerr/CFT correspondence, including charged variants.

Contribution

It introduces a novel embedding technique to remove conical singularities in rotating black hole spacetimes and analyzes their entropy using dual CFT methods.

Findings

Conical singularities can be removed via Ehlers transformation.

The entropy of the modified solutions matches dual CFT predictions.

Charged accelerating black holes are also successfully embedded and analyzed.

Abstract

We show how to remove from the rotating C-metric spacetime, which describes accelerating Kerr black holes, both conical singularities. This can be done by embedding the metric into a swirling gravitational universe, through a proper Ehlers transformation. The spin-spin interaction between the external rotational background and the black hole provides the source of the acceleration without the need of rods or strings. The physical properties and entropy of the new solution are studied using near horizon and dual conformal techniques of the Kerr/CFT correspondence. The charged case is also analysed: Accelerating Reissner-Nordstrom and Accelerating Kerr-Newman space-times embedded in a swirling universe are also generated.