Null Fields in Einstein-Maxwell Field Theory

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Abstract
The role of the electromagnetic null field, within the framework of classical relativistic electrodynamics, has never fully established. The object of this paper is to present a large class of exact solutions to the Einstein‐Maxwell null field equations with the hope that the physical implications of these solutions may lead to a more thorough understanding of these fields. In the present analysis, it appears that the nature of the solutions depends on the form of the propagation vector. In the cases for which the divergence of this vector vanishes, an extensive class of solutions is obtained and particular examples are considered. The analysis of the case when the divergence is nonzero is far from complete and only a particular solution is given.

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