Black hole-naked singularity dualism and the repulsion of two Kerr black holes due to spin-spin interaction

TL;DR

This paper explores the duality between black holes and naked singularities in Kerr solutions, revealing that Kerr sources can exist in either state with identical parameters and that black holes can repel each other due to spin-spin interactions, suggesting observable astrophysical effects.

Contribution

It introduces the concept of black hole-naked singularity dualism and demonstrates spin-spin repulsion between Kerr black holes, which was previously unrecognized.

Findings

Kerr sources can be in black hole or naked singularity states with identical parameters.

Kerr black holes can repel each other due to spin-spin interaction.

Potential for observing spin-spin repulsion in astrophysical black-hole binaries.

Abstract

We report about the possibility for interacting Kerr sources to exist in two different states - black holes or naked singularities - both states characterized by the same masses and angular momenta. Another surprising discovery reported by us is that in spite of the absence of balance between two Kerr black holes, the latter nevertheless can repel each other, which provides a good opportunity for experimental detection of the spin-spin repulsive force through the observation of astrophysical black-hole binaries.