Existence of singularities in two-Kerr black holes

TL;DR

This paper investigates the theoretical conditions under which two-Kerr black hole solutions can exist, focusing on angular momentum and area inequalities, and clarifies the non-existence of certain configurations.

Contribution

It removes a key hypothesis in the proof of non-existence of well-behaved two-component Kerr black hole solutions by linking stability inequalities to their non-existence.

Findings

The angular momentum-area inequality applies to hypothetical two-Kerr solutions.

Weakly stable minimal surfaces satisfy the inequality in these solutions.

The proof of non-existence of certain two-Kerr configurations is strengthened.

Abstract

We show that the angular momentum - area inequality 8\pi |J| =< A for weakly stable minimal surfaces would apply to (I^+)-regular many-Kerr solutions, if any existed. Hence we remove the undesirable hypothesis in the Hennig-Neugebauer proof of non-existence of well behaved two-component solutions.