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Integration using invariant operators: conformally flat radiation metrics

Integration using invariant operators: conformally flat radiation metrics
Integration using invariant operators: conformally flat radiation metrics
A new method is presented for obtaining the general conformally flat radiation metric by using the differential operators of Machado Ramos and Vickers (a generalization of those of Geroch, Held and Penrose) which are invariant under null rotations and rescalings. The solution is found by constructing involutive tables of these derivatives applied to the quantities which arise in the Karlhede classification of this class of metrics.
0264-9381
589-604
Edgar, S.B.
ead70c5e-6233-487a-aa3f-fa643869fe09
Vickers, J.A.
719cd73f-c462-417d-a341-0b042db88634
Edgar, S.B.
ead70c5e-6233-487a-aa3f-fa643869fe09
Vickers, J.A.
719cd73f-c462-417d-a341-0b042db88634

Edgar, S.B. and Vickers, J.A. (1999) Integration using invariant operators: conformally flat radiation metrics. Classical and Quantum Gravity, 16 (2), 589-604. (doi:10.1088/0264-9381/16/2/020).

Record type: Article

Abstract

A new method is presented for obtaining the general conformally flat radiation metric by using the differential operators of Machado Ramos and Vickers (a generalization of those of Geroch, Held and Penrose) which are invariant under null rotations and rescalings. The solution is found by constructing involutive tables of these derivatives applied to the quantities which arise in the Karlhede classification of this class of metrics.

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Published date: 1999

Identifiers

Local EPrints ID: 29325
URI: http://eprints.soton.ac.uk/id/eprint/29325
ISSN: 0264-9381
PURE UUID: 1ef6aa19-3d00-4494-a69b-bedaffde6b8a
ORCID for J.A. Vickers: ORCID iD orcid.org/0000-0002-1531-6273

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Date deposited: 20 Dec 2006
Last modified: 07 Oct 2020 02:15

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