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Generally covariant nonlinear electrodynamics with a tensor potential

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Abstract

A generally covariant nonlinear electrodynamics with a tensor potential, constructed in analogy with Einstein's theory of gravitation, is proposed. It is shown that in weak electromagnetic fields (E, H < 1013 cgsoe units) the tensor electrodynamics passes over to the usual linear vector electrodynamics of Maxwell and Lorentz. The problem of the self-energy of a charge is solved in the framework of the proposed electrodynamics.

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Authors and Affiliations

  1. Patrice Lumumba Friendship of Nations University, USSR

    G. I. Shipov

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  1. G. I. Shipov
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Additional information

Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 10, pp. 98–102, October, 1972.

For helpful discussions and important comments the author expresses thanks to Prof. D. D. Ivanenko and all participants in his seminar on the theory of the nucleus and elementary particles at the Moscow State University.

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Shipov, G.I. Generally covariant nonlinear electrodynamics with a tensor potential. Soviet Physics Journal 15, 1466–1469 (1972). https://doi.org/10.1007/BF00892096

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  • DOI: https://doi.org/10.1007/BF00892096

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