Twisting type N vacuums with cosmological constant

TL;DR

This paper presents the first known vacuum solutions with a cosmological constant that exhibit a twisting quadruple principal null direction, expanding the class of known exact solutions in general relativity.

Contribution

It introduces the first examples of vacuum metrics with a cosmological constant featuring a twisting quadruple principal null direction.

Findings

First examples of such vacuum metrics with twisting null directions.

Demonstrates the existence of new exact solutions in Einstein's equations.

Enhances understanding of spacetime structures with cosmological constant.

Abstract

We provide the first examples of vacuum metrics with cosmological constant which have a twisting quadruple principal null direction.