Gyratons on Melvin spacetime

TL;DR

This paper introduces new exact gyraton solutions on a Melvin spacetime background, expanding the understanding of gravitational waves in cylindrically symmetric electromagnetic universes.

Contribution

It presents a novel class of gyraton solutions on Melvin spacetime, connecting them to Kundt spacetimes and analyzing their geometric properties.

Findings

Solutions reduce to Minkowski gyratons when electromagnetic field vanishes

The Einstein equations simplify to linear equations on a 2D transverse space

Scalar curvature invariants are generally non-constant but unaffected by gyratons

Abstract

We present and analyze new exact gyraton solutions of algebraic type II on a background which is static, cylindrically symmetric Melvin universe of type D. For a vanishing electromagnetic field it reduces to previously studied gyratons on Minkowski background. We demonstrate that the solutions are member of a more general family of the Kundt spacetimes. We show that the Einstein equations reduce to a set of mostly linear equations on a transverse 2-space and we discuss the properties of polynomial scalar curvature invariants which are generally non-constant but unaffected by the presence of gyratons.