Ultraspinning instability of anti-de Sitter black holes

TL;DR

This paper investigates the onset of ultraspinning instabilities in higher-dimensional anti-de Sitter black holes, extending previous analyses to include the effects of a negative cosmological constant and identifying potential new black hole phases.

Contribution

It numerically determines the stationary perturbations indicating instability onset in AdS black holes with a single spin, expanding understanding of their phase structure.

Findings

Identified the parameter space where instabilities occur.

Connected perturbations to potential new black hole phases.

Analyzed the influence of the cosmological constant on stability.

Abstract

Myers-Perry black holes with a single spin in d>5 have been shown to be unstable if rotating sufficiently rapidly. We extend the numerical analysis which allowed for that result to the asymptotically AdS case. We determine numerically the stationary perturbations that mark the onset of the instabilities for the modes that preserve the rotational symmetries of the background. The parameter space of solutions is thoroughly analysed, and the onset of the instabilities is obtained as a function of the cosmological constant. Each of these perturbations has been conjectured to represent a bifurcation point to a new phase of stationary AdS black holes, and this is consistent with our results.