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Symmetry mappings in Einstein-Maxwell space-times

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Abstract

General properties of Einstein-Maxwell spaces, with both null and nonnull source-free Maxwell fields, are examined when these space-times admit various kinds of symmetry mappings. These include Killing, homothetic and conformal vector fields, curvature and Ricci collineations, and mappings belonging to the family of contracted Ricci collineations. In particular, the behavior of the electromagnetic field tensor is examined under these symmetry mappings. Examples are given of such space-times which admit proper curvature and proper Ricci collineations. Examples are also given of such space-times in which the metric tensor admits homothetic and other motions, but in which the corresponding Lie derivatives of the electromagnetic Maxwell tensor are not just proportional to the Maxwell tensor.

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Authors and Affiliations

  1. Department of Applied Mathematics, University of Waterloo, N2L 3G1, Waterloo, Ontario, Canada

    C. B. G. McIntosh

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  1. C. B. G. McIntosh
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On leave from Mathematics Department, Monash University, Clayton, Victoria, 3168, Australia.

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McIntosh, C.B.G. Symmetry mappings in Einstein-Maxwell space-times. Gen Relat Gravit 10, 61–77 (1979). https://doi.org/10.1007/BF00757024

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