Static Einstein-Maxwell black holes with no spatial isometries in AdS space

TL;DR

This paper constructs novel static black hole solutions in AdS space that lack any spatial symmetries, revealing a richer structure of black holes in AdS compared to Minkowski space.

Contribution

It explicitly demonstrates the existence of static, non-spherically symmetric black holes in Einstein-Maxwell-AdS theory with no continuous spatial isometries.

Findings

Black holes have no spatial symmetries.

They possess a spherical horizon topology.

Existence of black holes with arbitrary multipole structures.

Abstract

We explicitly construct static black hole solutions to the fully non-linear, D=4, Einstein-Maxwell-AdS equations that have no continuous spatial symmetries. These black holes have a smooth, topologically spherical horizon (section), but without isometries, and approach, asymptotically, global AdS spacetime. They are interpreted as bound states of a horizon with the Einstein-Maxwell-AdS solitons recently discovered, for appropriate boundary data. In sharp contrast with the uniqueness results for Minkowski electrovacuum, the existence of these black holes shows that single, equilibrium, BH solutions in AdS-electrovacuum admit an arbitrary multipole structure.