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Regular PapersNo Access

THE ROTATION AND TRANSLATION OF CYLINDERS IN GENERAL RELATIVITY

J. B. GRIFFITHS

Department of Mathematical Sciences, Loughborough University, Loughborough, Leicestershire, LE11 3TU, UK

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and

Department of Mathematical Sciences, Queen Mary University of London, Mile End Road, London, E1 4NS, UK

Laboratório Nacional de Computação Científica, 25651-070 Petrópolis RJ, Brazil

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https://doi.org/10.1142/S0218271810016233Cited by:4 (Source: Crossref)

Abstract

In general relativity, the gravitational field of an infinite rotating cylinder is globally (but not locally) different from that of a static cylinder. It is shown here that, for an infinite rigidly translating (non-rotating) cylinder of perfect fluid with a regular axis, there exists a (translating) frame of reference relative to which the gravitational field is static.

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Vol. 19, No. 01

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History

Received 25 August 2009

Revised 26 October 2009

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