Obtaining a class of Type N pure radiation metrics using invariant operators

TL;DR

This paper introduces an improved method for deriving Petrov type N pure radiation metrics using invariant operators, reducing explicit calculations and enhancing efficiency in the generalised invariant formalism.

Contribution

It presents a novel approach incorporating non-intrinsic elements into the formalism, enabling more manageable calculations without explicit integration.

Findings

Successfully derived a class of Petrov type N pure radiation metrics

Demonstrated the efficiency of the method with minimal detailed calculations

Extended the invariant formalism with non-intrinsic elements

Abstract

We develop further the integration procedure in the generalised invariant formalism, and demonstrate its efficiency by obtaining a class of Petrov type N pure radiation metrics without any explicit integration, and with comparatively little detailed calculations. The method is similar to the one exploited by Edgar and Vickers when deriving the general conformally flat pure radiation metric. A major addition to the technique is the introduction of non-intrinsic elements in generalised invariant formalism, which can be exploited to keep calculations manageable.