Instability and new phases of higher-dimensional rotating black holes

TL;DR

This paper investigates the stability of higher-dimensional rotating black holes, identifying the onset of instabilities and new black hole phases, including ultraspinning Gregory-Laflamme instabilities, through numerical analysis.

Contribution

It provides the first numerical detection of the instability thresholds and new phases of higher-dimensional rotating black holes, confirming theoretical conjectures.

Findings

Identified stationary perturbations marking instability onset.

Discovered new black hole phases with pinched horizons.

Found ultraspinning Gregory-Laflamme instabilities in black strings and branes.

Abstract

It has been conjectured that higher-dimensional rotating black holes become unstable at a sufficiently large value of the rotation, and that new black holes with pinched horizons appear at the threshold of the instability. We search numerically, and find, the stationary axisymmetric perturbations of Myers-Perry black holes with a single spin that mark the onset of the instability and the appearance of the new black hole phases. We also find new ultraspinning Gregory-Laflamme instabilities of rotating black strings and branes.