# Balanced magnetized double black holes

## TL;DR

This paper presents exact solutions describing two non-rotating extreme black holes with opposite magnetic and NUT charges, connected by a tensionless string, revealing bounds on their separation and conditions for singularity-free configurations.

## Contribution

It introduces a new two-parameter family of exact Einstein-Maxwell solutions for black hole pairs with opposite charges, expanding understanding of their interactions and configurations.

## Key findings

- Solutions are free of ring singularities within a specific parameter range.
- The black holes have a minimum separation distance for a given mass.
- The solutions include a limit where the black holes are far apart.

## Abstract

We report on a two-parameter family of exact asymptotically flat stationary solutions to Einstein-Maxwell theory. These solutions are free from ring singularities in a specific parameter range. They represent systems of two non-rotating extreme black holes with opposite magnetic and NUT charges, connected by a tensionless Dirac-Misner string. For a given ADM mass of the system, the distance between the two black holes has a lower bound. We also discuss the limit in which the two constituent black holes are far apart.