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4-dimensional geometric unification model of gravitational and electromagnetic interactions

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Abstract

We suggest a 4D geometric model unifying the gravitational and electromagnetic interactions on the basis of 4D Riemann-Weyl space-time W 4, i.e., 4D space-time endowed with curvature and Weyl nonmetricity, such that the covariant derivative of the metric tensor gik has the form ∇ igik = 2W igik ≠ 0, where W i is theWeyl nonmetricity vector, assumed to be proportional to the electromagnetic potential A k .

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References

  1. Albert Einstein and Gravitation Theory (Collected papers,Mir,Moscow, 1979), pp. 529–534.

  2. H. Weyl, Raum, Zeit,Materie (Berlin, 1920).

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  3. V. G. Krechet, “Nonlinear wave fields and space-time geometry,” in Problems of Gravitation Theory and Particle Theory (Energoatomizdat, Moscow, 1982), issue 13, pp. 60–66.

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Authors and Affiliations

  1. Moscow State Technological University “Stankin”, Vadkovskii per. 3A, Moscow, 127055, Russia

    V. G. Krechet & V. B. Oshurko

  2. Yaroslavl State Pedagogical University, Yaroslavl, Russia

    D. V. Sadovnikov

Authors
  1. V. G. Krechet
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  2. V. B. Oshurko
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  3. D. V. Sadovnikov
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Correspondence to V. G. Krechet.

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Krechet, V.G., Oshurko, V.B. & Sadovnikov, D.V. 4-dimensional geometric unification model of gravitational and electromagnetic interactions. Gravit. Cosmol. 21, 216–219 (2015). https://doi.org/10.1134/S0202289315030056

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  • DOI: https://doi.org/10.1134/S0202289315030056

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