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A contribution to the Rainich theory of the neutrino field
Authors:J B Griffiths  R A Newing
Institution:(1) Department of Mathematics, Loughborough University of Technology, Loughborough, Leics;(2) Department of Applied Mathematics, University College of North Wales, Bangor, Caerns
Abstract:The neutrino-gravitational field is divided into fourteen distinct classes. This classification is shown also to determine the class of the space-time. Then for four particular classes of space-time, necessary and sufficient conditions on the concomitants of the Ricci tensor are given for it to admit a neutrino field. It is further shown that for three of these classes the neutrino field is determined uniquely by the metric of space-time.
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