The University of Southampton
University of Southampton Institutional Repository

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.

This record has no associated files available for download.

More information

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

Catalogue record

Date deposited: 20 Dec 2006
Last modified: 16 Mar 2024 02:34

Export record

Altmetrics

Contributors

Author: S.B. Edgar
Author: J.A. Vickers ORCID iD

Download statistics

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton: eprints@soton.ac.uk

ePrints Soton supports OAI 2.0 with a base URL of http://eprints.soton.ac.uk/cgi/oai2

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.

×