D=5 Einstein-Maxwell-Chern-Simons Black Holes

TL;DR

This paper explores five-dimensional Einstein-Maxwell-Chern-Simons black holes, revealing how supersymmetry, stability, and black hole uniqueness depend on the Chern-Simons coefficient, with new phenomena like counterrotation and non-uniqueness.

Contribution

It characterizes the properties and stability of 5D Einstein-Maxwell-Chern-Simons black holes across different Chern-Simons coefficients, highlighting novel behaviors such as counterrotation and non-uniqueness.

Findings

Supersymmetric black holes with zero horizon angular velocity but finite angular momentum at λ=1.

Rotational instability and counterrotating black holes for λ>1.

Loss of uniqueness and existence of black holes with zero angular momentum for λ>2.

Abstract

5-dimensional Einstein-Maxwell-Chern-Simons theory with Chern-Simons coefficient $\lambda=1$ has supersymmetric black holes with vanishing horizon angular velocity, but finite angular momentum. Here supersymmetry is associated with a borderline between stability and instability, since for $\lambda>1$ a rotational instability arises, where counterrotating black holes appear, whose horizon rotates in the opposite sense to the angular momentum. For $\lambda>2$ black holes are no longer uniquely characterized by their global charges, and rotating black holes with vanishing angular momentum appear.