Rotating nonuniform black string solutions

TL;DR

This paper investigates the stability of rotating black strings with equal angular momenta, finding the Gregory-Laflamme instability persists up to extremality, and constructs nonuniform solutions and potential topology-changing transitions.

Contribution

It extends the analysis of black string stability to rotating cases in multiple dimensions and constructs new nonuniform solutions, including charged configurations in string theory.

Findings

Gregory-Laflamme instability persists up to extremality in dimensions 6 to 14.

Construction of rotating nonuniform black strings with two equal angular momenta in six dimensions.

Initial evidence of a topology-changing transition related to these nonuniform black strings.

Abstract

We explore via linearized perturbation theory the Gregory-Laflamme instability of rotating black strings with equal magnitude angular momenta. Our results indicate that the Gregory-Laflamme instability persists up to extremality for all even dimensions between six and fourteen. We construct rotating nonuniform black strings with two equal magnitude angular momenta in six dimensions. We see a first indication for the occurrence of a topology changing transition, associated with such rotating nonuniform black strings. Charged nonuniform black string configurations in heterotic string theory are also constructed by employing a solution generation technique.