Petrov type D pure radiation fields of Kundt's class

TL;DR

This paper classifies all Petrov type D pure radiation space-times with shear-free, non-diverging geodesic null congruences, including cases with or without a cosmological constant.

Contribution

It provides a complete classification of a specific class of Petrov type D pure radiation solutions in general relativity.

Findings

All such space-times are characterized and explicitly described.

The classification includes cases with and without a cosmological constant.

The solutions have shear-free, non-diverging geodesic principal null congruences.

Abstract

We present all Petrov type D pure radiation space-times, with or without cosmological constant, with a shear-free, non-diverging geodesic principal null congruence.