Gravitational stability of simply rotating Myers-Perry black holes: tensorial perturbations

TL;DR

This paper investigates the stability of higher-dimensional rotating black holes, specifically Myers-Perry black holes in dimensions seven and above, against tensor gravitational perturbations, finding no evidence of instability.

Contribution

It provides the first comprehensive analysis of tensor-type perturbations for these black holes, establishing their stability in the specified regime.

Findings

No unstable quasinormal modes found

Black holes are stable against tensor perturbations

Supports the robustness of Myers-Perry black holes in higher dimensions

Abstract

We study the stability of $D \geq 7$ asymptotically flat black holes rotating in a single two-plane against tensor-type gravitational perturbations. The extensive search of quasinormal modes for these black holes did not indicate any presence of growing modes, implying the stability of simply rotating Myers-Perry black holes against tensor-type perturbations.