Gregory-Laflamme instability of a slowly rotating black string

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.

26 pages, 1 figure

References in corpus (4)

• Black Strings, Low Viscosity Fluids, and Violation of Cosmic Censorship
• Rayleigh-Plateau and Gregory-Laflamme instabilities of black strings
• Ultraspinning instability of rotating black holes
• Equilibrium configurations of fluids and their stability in higher dimensions