Non-abelian Yang-Mills in Kundt spacetimes

TL;DR

This paper introduces new exact solutions to the Einstein-Yang-Mills equations involving null Yang-Mills fields in Kundt spacetimes, extending known solutions for $pp$ wave metrics and classified as Petrov type III.

Contribution

It provides novel exact solutions for Einstein-Yang-Mills systems with null fields in Kundt spacetimes, generalizing previous $pp$ wave solutions.

Findings

Solutions are exact and describe null Yang-Mills fields in Kundt spacetimes.

Generalization of known $pp$ wave solutions.

Solutions are Petrov type III.

Abstract

We present new exact solutions of the Einstein-Yang-Mills system. The solutions are described by a null Yang-Mills field in a Kundt spacetime. They generalize a previously known solution for a metric of $pp$ wave type. The solutions are formally of Petrov type III.