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

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.

arXiv commentThis work was presented in July 2004, in the Gr17 meeting held in Dublin-Ireland

References in corpus (2)

• Integration in the GHP formalism III: Finding all conformally flat radiation metrics as an example of an `optimal situation'
• Integration using invariant operators:Conformally flat radiation metrics

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• Type O pure radiation metrics with a cosmological constant
• Obtaining a class of Type O pure radiation metrics with a cosmological constant, using invariant operators
• Invariant classification and the generalised invariant formalism: conformally flat pure radiation metrics, with zero cosmological constant
• Invariant classification of vacuum PP-waves
• Petrov type D pure radiation fields of Kundt's class