Stability of five-dimensional rotating black holes projected on the brane

TL;DR

This paper investigates the stability of five-dimensional rotating black holes with a single angular momentum by analyzing their quasinormal modes, finding no instabilities and observing behavior similar to four-dimensional Kerr black holes.

Contribution

It provides the first detailed analysis of the stability and quasinormal modes of five-dimensional Myers-Perry black holes projected on the brane, using Leaver's continued fraction method.

Findings

No unstable modes found in the numerical analysis.

Damping times tend to infinity as the black hole approaches extremality.

Behavior of modes is similar to that of 4D Kerr black holes.

Abstract

We study the stability of five-dimensional Myers-Perry black holes with a single angular momentum under linear perturbations, and we compute the quasinormal modes (QNM's) of the black hole metric projected on the brane, using Leaver's continued fraction method. In our numerical search we do not find unstable modes. The damping time of modes having l=m=2 and l=m=1 tends to infinity as the black hole spin tends to the extremal value, showing a behaviour reminiscent of the one observed for ordinary 4-dimensional Kerr black holes.