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Arbitrary tensor concomitants of a bivector and a metric in a space-time manifold

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Abstract

In the general theory of relativity the energy-momentum tensor due to an electromagnetic field is taken to be a symmetric rank-two tensor concomitant of a bivector and the metric tensor. As a step in the discussion of the possible uniqueness of this tensor we display a method for finding all tensor concomitants of a bivector and a metric in a space-time manifold.

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Kerrighan, B. Arbitrary tensor concomitants of a bivector and a metric in a space-time manifold. Gen Relat Gravit 13, 19–27 (1981). https://doi.org/10.1007/BF00766294

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