Gravitational and electromagnetic radiation from binary black holes with electric and magnetic charges: Hyperbolic orbits on a cone

TL;DR

This paper derives the hyperbolic orbits of charged binary black holes and analyzes their gravitational and electromagnetic radiation, providing a formalism to estimate merger rates influenced by electric and magnetic charges.

Contribution

It introduces a new formalism to compute merger rates of charged black holes from dynamical capture, considering both gravitational and electromagnetic effects.

Findings

Charges significantly affect merger rates in near-extremal cases

Derived hyperbolic orbits with electric and magnetic charges

Calculated energy emission rates in weak-field regime

Abstract

We derive the hyperbolic orbit of binary black holes with electric and magnetic charges. In the low-velocity and weak-field regime, by using the Newtonian method, we calculate the total emission rate of energy due to gravitational and electromagnetic radiation from binary black holes with electric and magnetic charges in hyperbolic orbits. Moreover, we develop a formalism to derive the merger rate of binary black holes with electric and magnetic charges from the two-body dynamical capture. We apply the formalism to investigate the effects of the charges on the merger rate for the near-extremal case and find that the effects cannot be ignored.