On conformally flat and type N pure radiation metrics

TL;DR

This paper analyzes pure radiation spacetimes of types O and N, providing explicit transformations to a unified form, confirming the correctness of previous derivations and clarifying trivial differences.

Contribution

It presents explicit coordinate transformations for pure radiation metrics, unifying different forms and validating prior derivations using the GIF formalism.

Findings

Metrics are successfully transformed into a unified form.

Confirmation of the correctness of previous derivations.

Identification of trivial differences among metrics.

Abstract

We study pure radiation spacetimes of algebraic types O and N with a possible cosmological constant. In particular, we present explicit transformations which put these metrics, that were recently re-derived by Edgar, Vickers and Machado Ramos, into a general Ozsvath-Robinson-Rozga form. By putting all such metrics into the unified coordinate system we confirm that their derivation based on the GIF formalism is correct. We identify only few trivial differences.