Extreme binary black holes in a physical representation

TL;DR

This paper analyzes stationary binary systems of unequal co- and counter-rotating extreme Kerr black holes, revealing their parametrization and physical properties using the Kinnersley-Chitre metric.

Contribution

It introduces a physical representation of binary extreme Kerr black holes, identifying limits and properties through a detailed parametrization.

Findings

Identification of two subfamilies within the Kinnersley-Chitre metric.

Explicit relations between physical parameters and black hole properties.

Discovery of novel physical properties and limits of the binary systems.

Abstract

Stationary axisymmetric binary systems of unequal co and counter-rotating extreme Kerr black holes apart by a conical singularity are studied. Both solutions are well identified as two $3$-parametric subfamilies of the Kinnersley-Chitre metric, and fully depicted by Komar parameters: the two masses $M_{1}$ and $M_{2}$, and a coordinate distance $R$, where the angular momenta $J_{1}$ and $J_{2}$ are functions of these parameters. Our physical representation allows us to identify some limits and novel physical properties.