Quasinormal modes and stability of higher dimensional rotating black holes under massive scalar perturbations

TL;DR

This paper investigates the stability of six-dimensional rotating black holes under massive scalar fields by computing quasinormal modes, finding all modes damped and identifying long-living quasiresonances for large scalar masses.

Contribution

It provides the first detailed numerical analysis of quasinormal modes for six-dimensional Myers-Perry black holes with massive scalar perturbations, confirming their stability.

Findings

All computed modes are damped, indicating stability.

Existence of long-living quasiresonances for large scalar masses.

Numerical results support stability under massive scalar perturbations.

Abstract

We consider the stability of six-dimensional singly rotating Myers-Perry black holes under massive scalar perturbations. Using Leaver's continued fraction method, we compute the quasinormal modes of the massive scalar fields. All modes found are damped under the quasinormal boundary conditions. It is also found that long-living modes called quasiresonances exist for large scalar masses as in the four-dimensional Kerr black hole case. Our numerical results provide a direct and complement evidence for the stability of six-dimensional MP black holes under massive scalar perturbation.