Black holes with only one Killing field

TL;DR

This paper introduces novel five-dimensional AdS black hole solutions with scalar hair that possess only a single Killing field, challenging traditional symmetry assumptions in black hole physics.

Contribution

It provides the first explicit examples of black holes with only one Killing field, including solutions related to rotating boson stars and superradiant instability endpoints.

Findings

Existence of black holes with a single Killing field in five dimensions.

Multiple solutions can share the same mass and angular momentum.

Some solutions are connected to superradiant instability endpoints.

Abstract

We present the first examples of black holes with only one Killing field. The solutions describe five dimensional AdS black holes with scalar hair. The black holes are neither stationary nor axisymmetric, but are invariant under a single Killing field which is tangent to the null generators of the horizon. Some of these solutions can be viewed as putting black holes into rotating boson stars. Others are related to the endpoint of a superradiant instability. For given mass and angular momentum (within a certain range) several black hole solutions exist.