Comment on "Generalized black diholes"

TL;DR

This paper critiques a recent black dihole solution, demonstrating that it is physically inconsistent due to incorrect limiting behavior of a key quantity as the separation distance increases.

Contribution

It identifies a fundamental flaw in a recent solution for black diholes, clarifying the physical inconsistency related to the limit behavior of a specific parameter.

Findings

The solution's key quantity $\sigma$ does not approach the expected limit as $R o \infty$.

The critique highlights the importance of correct asymptotic limits in black hole solutions.

The paper emphasizes the need for physically consistent parameters in gravitational solutions.

Abstract

We show that a recent solution published by Cabrera-Munguia et al. is physically inconsistent since the quantity $\sigma$ it involves does not have a correct limit $R\to\infty$.