Pure-radiation gravitational fields with a simple twist and a Killing vector

TL;DR

This paper derives new pure-radiation gravitational solutions using analogies with hydrodynamics equations, including the Hauser solution as a special case, expanding understanding of gravitational fields with specific symmetries.

Contribution

It introduces a novel class of pure-radiation solutions based on the Euler-Darboux and Euler-Tricomi equations, linking gravitational fields to hydrodynamic analogies.

Findings

Derived new pure-radiation solutions with a simple twist.

Included the Hauser solution as a special case.

Established a connection between gravitational fields and hydrodynamics equations.

Abstract

Pure-radiation solutions are found, exploiting the analogy with the Euler- Darboux equation for aligned colliding plane waves and the Euler-Tricomi equation in hydrodynamics of two-dimensional flow. They do not depend on one of the spacelike coordinates and comprise the Hauser solution as a special subcase.