# Binary Black Hole in a Double Magnetic Monopole Field

## TL;DR

This paper derives exact solutions for electromagnetic fields around binary black holes in the presence of dual magnetic or electric monopole fields, providing insights into their physical properties and potential electromagnetic signals.

## Contribution

It presents the first exact solutions for binary black holes in dual monopole and dipole electromagnetic fields, clarifying their physical status and energy flow characteristics.

## Key findings

- No energy outflows in off-balance configurations.
- Conical singularities represent gravitational attraction and field dragging.
- Exact solutions for binary black holes in monopole and dipole fields.

## Abstract

Ambient magnetic fields are thought to play a critical role in black hole jet formation. Furthermore, dual electromagnetic signals could be produced during the inspiral and merger of binary black hole systems. However, due to the absence of theoretical models, the physical status of binary black hole arrays with dual jets has remained unresolved. In this paper, we derive the exact solution for the electromagnetic field occurring when a static, axisymmetric binary black hole system is placed in the field of two magnetic or electric monopoles. As a by-product of this derivation, we also find the exact solution of the binary black hole configuration in a magnetic or electric dipole field. The presence of conical singularities in the static black hole binaries represent the gravitational attraction between the black holes that also drag the external two monopole field. We show that these off-balance configurations generate no energy outflows.