Type III Einstein-Yang-Mills solutions

TL;DR

This paper constructs two classes of exact type III solutions to the four-dimensional Einstein-Yang-Mills equations, involving non-abelian plane waves in Kundt spacetimes, and explores their properties and reductions.

Contribution

It introduces new exact solutions of the Einstein-Yang-Mills system with type III algebraic structure, expanding the known solution space.

Findings

Solutions are embeddings of non-abelian plane waves in Kundt spacetimes.

Reduction to type N yields generalized pp and Kundt waves.

Geodesic equations are briefly analyzed.

Abstract

We construct two distinct classes of exact type III solutions of the D=4 Einstein-Yang-Mills system. The solutions are embeddings of the non-abelian plane waves in spacetimes in Kundt's class. Reduction of the solutions to type N leads to generalized $pp$ and Kundt waves. The geodesic equations are briefly discussed.