# Binary systems of recoiling extreme Kerr black holes

## TL;DR

This paper investigates the repulsive interactions between pairs of extreme Kerr black holes caused by their spins, using specific solutions to Einstein's equations, and considers both equal and unequal black hole configurations.

## Contribution

It introduces an analysis of spin-spin induced repulsion in extreme Kerr black hole binaries within the Kinnersley-Chitre solution framework, including unequal mass cases.

## Key findings

- Demonstrates repulsive spin-spin interactions in extreme Kerr black hole pairs.
- Analyzes both equal and unequal black hole configurations.
- Provides insights into the binary dynamics of extreme Kerr black holes.

## Abstract

In the present paper the repulsion of two extreme Kerr black holes arising from their spin-spin interaction is analyzed within the framework of special subfamilies of the well-known Kinnersley-Chitre solution. The binary configurations of both equal and nonequal extreme repelling black holes are considered.