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On a group approach to studying the Einstein and maxwell equations

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Abstract

Based on the classical problem for decomposition of the tensor product of representations into irreducible components, which is considered in the elementary representation theory for orthogonal groups, a partial classification of the Einstein equations is carried out. A new class of Maxwell equations for relativistic electrodynamics is singled out and studied. Pointwise-irreducible decompositions for the energy-momentum and electromagnetic field tensors are obtained and a physical interpretation of the decomposition components is given.

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Authors and Affiliations

  1. Vladimir State Pedagogical University, Vladimir, Russia

    S. E. Stepanov

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  1. S. E. Stepanov
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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 111, No. 1, pp. 32–43, April, 1997.

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Stepanov, S.E. On a group approach to studying the Einstein and maxwell equations. Theor Math Phys 111, 419–427 (1997). https://doi.org/10.1007/BF02634197

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  • DOI: https://doi.org/10.1007/BF02634197

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