On conformally flat and type N pure radiation 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.

13 pages, typos corrected. To appear in Gen. Relativ. Gravit

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• The type N Karlhede bound is sharp
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Cited by in corpus (4)

• Explicit algebraic classification of Kundt geometries in any dimension
• Petrov type D pure radiation fields of Kundt's class
• Invariant classification and the generalised invariant formalism: conformally flat pure radiation metrics, with zero cosmological constant
• Symmetry analysis of radiative spacetimes with a null isotropy using GHP formalism