Charged rotating black holes in higher dimensions

TL;DR

This paper constructs and analyzes higher-dimensional charged rotating black holes and black bars using large D expansion, revealing how charge influences stability and instabilities in these exotic solutions.

Contribution

It introduces new charged rotating black hole and black bar solutions in higher dimensions using large D techniques, and studies their stability properties.

Findings

Charge reduces the stability of black holes.

Instabilities can occur at low angular momentum with high charge.

The results approximate finite D≥6 black holes well.

Abstract

We use a recent implementation of the large $D$ expansion in order to construct the higher-dimensional Kerr-Newman black hole and also new charged rotating black bar solutions of the Einstein-Maxwell theory, all with rotation along a single plane. We describe the space of solutions, obtain their quasinormal modes, and study the appearance of instabilities as the horizons spread along the plane of rotation. Generically, the presence of charge makes the solutions less stable. Instabilities can appear even when the angular momentum of the black hole is small, as long as the charge is sufficiently large. We expect that, although our study is performed in the limit $D\to\infty$, the results provide a good approximation for charged rotating black holes at finite $D\geq 6$.