Nonaxisymmetric instability of rapidly rotating black hole in five dimensions

TL;DR

This paper demonstrates that rapidly rotating black holes in five dimensions are unstable against nonaxisymmetric deformations, with a critical spin parameter of approximately 0.87, based on numerical solutions of Einstein's equations.

Contribution

First numerical demonstration of nonaxisymmetric instability in five-dimensional rapidly rotating black holes.

Findings

Black holes become unstable at spin parameter ≈ 0.87

Instability manifests as nonaxisymmetric deformation

Numerical solutions of Einstein's equations confirm the instability

Abstract

We present results from numerical solution of Einstein's equation in five dimensions describing evolution of rapidly rotating black holes. We show, for the first time, that the rapidly rotating black holes in higher dimensions are unstable against nonaxisymmetric deformation; for the five-dimensional case, the critical value of spin parameter for onset of the instability is $\approx 0.87$.