Charged Static AdS Black Hole Binaries

TL;DR

This paper constructs the first known binary black hole solutions in Einstein-Maxwell theory within asymptotically anti-de Sitter space, revealing continuous non-uniqueness and verifying a first law of black hole mechanics.

Contribution

It introduces novel binary black hole solutions in AdS space with electric fields, expanding understanding of black hole configurations and their thermodynamics.

Findings

First binary black hole solutions in AdS with electric fields

Existence of continuous non-uniqueness in solutions

Numerical verification of the first law of black hole mechanics

Abstract

We construct the first binary black hole solutions of Einstein-Maxwell theory in asymptotically anti-de Sitter space. The attractive force between the two black holes is balanced by the addition of a background electric field, sourced at the conformal boundary. There is a continuous family of bulk solutions for a given boundary profile and temperature, suggesting there is continuous non-uniqueness. We investigate the charges of the solutions and verify numerically that they satisfy a first law of black hole mechanics relation.