Non-static electromagnetic fields in general relativity. IV

Physics

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Scientific paper

An investigation is made of Rainich's ‘already unified field theory’ from the standpoint of continuous groups of motions, and a solution is obtained for the case where the electromagnetic field is non-static and the space-time admits a three-parameter continuous group of motions whose minimum invariant varieties are three-dimensional spaces. There exists a divergence-free electromagnetic field for values of t at which the metric is not singular.

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