Metric for two unequal extreme Kerr-Newman black holes

TL;DR

This paper introduces a new analytical metric for binary systems of unequal extreme Kerr-Newman black holes, providing insights into their configurations and merging processes within stationary axisymmetric spacetimes.

Contribution

It presents a closed-form analytical metric for unequal extreme Kerr-Newman black hole binaries, including both co- and counter-rotating cases, and explores their merging behavior.

Findings

Derived a new metric in closed form for black hole binaries

Analyzed the merging process of the black holes

Provided explicit parameters for system configurations

Abstract

In the present paper, within the framework of stationary axisymmetric spacetimes, binary systems composed of two unequal co- and counter-rotating extreme Kerr-Newman black holes separated by a massless strut are reported. The metric describing both configurations is introduced in a closed analytical form in terms of five arbitrary parameters: the masses $M_{i}$, electric charges $Q_{i}$, and a coordinate distance $R$. We obtain novel results from these configurations; in particular, those related to the merging process.