Gregory-Laflamme instability of a slowly rotating black string

TL;DR

This paper investigates how slow rotation affects the Gregory-Laflamme instability in a 5D black string with a Kerr black hole, finding that rotation amplifies the instability and shortens the critical wavelength and growth time-scale.

Contribution

It provides a perturbative analysis showing that rotation enhances the Gregory-Laflamme instability in a 5D black string with a Kerr black hole.

Findings

Rotation increases the instability strength.

Critical wavelength decreases with rotation.

Growth time-scale shortens as rotation increases.

Abstract

We study the Gregory-Laflamme instability of a 5-dimensional slowly rotating black string in which the 4-dimensional section is described by the Kerr black hole. We treat the rotation in a perturbative way introducing a small parameter for the rotation. It is found that rotation makes the Gregory-Laflamme instability stronger. Both the critical wavelength at the onset of instability and the growth time-scale are found to decrease as the rotation increases.