A note on static dyonic diholes

TL;DR

This paper clarifies that a proposed static dyonic dihole solution is indeed static with no global angular momentum or rotating charges, countering recent claims of rotation.

Contribution

It demonstrates that the dyonic generalization of the Emparan-Teo dihole is described by a static diagonal metric, refuting claims of non-zero angular momentum.

Findings

The solution is static with a diagonal metric.

No global angular momentum or rotating charges are involved.

Counteracts recent claims of rotation in the dyonic dihole solution.

Abstract

In this brief note we argue that a dyonic generalization of the Emparan-Teo dihole solution is described by a static diagonal metric and therefore, contrary to the claim made in a recent paper by Cabrera-Munguia et al., does not involve any "non-vanishing global angular momentum" and rotating charges.