A note on Kundt spacetimes of type N with a cosmological constant

TL;DR

This paper confirms that the Ozsváth-Robinson-Rózga family of Kundt class type N electrovac spacetimes with a cosmological constant is complete, resolving previous conflicting claims in the literature.

Contribution

It provides a definitive proof of the completeness of a specific family of Kundt spacetimes with a cosmological constant, clarifying prior ambiguities.

Findings

Confirmed the completeness of the Ozsváth-Robinson-Rózga family of spacetimes.

Resolved conflicting claims about the family’s completeness.

Clarified the structure of Kundt class type N spacetimes with mbda.

Abstract

In recent literature there appeared conflicting claims about whether the Ozsv\'ath-Robinson-R\'ozga family of type N electrovac spacetimes of the Kundt class with $\Lambda$ is complete. We show that indeed it is.