Scalar perturbations of higher dimensional rotating and ultra-spinning black holes

TL;DR

This paper examines the stability of six-dimensional rotating black holes under scalar perturbations, demonstrating their stability across low to ultra-high rotation regimes through numerical and analytical methods.

Contribution

It provides a comprehensive analysis of higher dimensional Kerr black holes' stability, including the ultra-spinning regime, which was less explored before.

Findings

Higher dimensional Kerr black holes are stable against scalar perturbations.

Stability persists even in the ultra-spinning regime.

Numerical and analytical methods confirm stability across rotation regimes.

Abstract

We investigate the stability of higher dimensional rotating black holes against scalar perturbations. In particular, we make a thorough numerical and analytical analysis of six-dimensional black holes, not only in the low rotation regime but in the high rotation regime as well. Our results suggest that higher dimensional Kerr black holes are stable against scalar perturbations, even in the ultra-spinning regime.