Complete integration of the aligned Newman Tamburino Maxwell solutions

TL;DR

This paper fully integrates the Newman Tamburino equations with an aligned Maxwell field, explores vacuum limits, and analyzes symmetries of the solutions, advancing understanding of these complex spacetime configurations.

Contribution

It provides a complete integration of the aligned Newman Tamburino Maxwell solutions and examines their vacuum limits and symmetries, which was not previously achieved.

Findings

Complete integration of the field equations

Identification of vacuum limits

Analysis of solution symmetries

Abstract

We investigate the cylindrical class of Newman Tamburino equations in the presence of an aligned Maxwell field. After obtaining a complete integration of the field equations we look at the possible vacuum limits and we examine the symmetries of the general solution.