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A Five-Dimensional Model of the Gravitational Interaction of an Electromagnetic Field in an Affine-Metric Space

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Abstract

A geometric model for the gravitational interaction of an electromagnetic field in an affine-metric space with torsion and nonmetricity is proposed which describes the dynamics of an empty 5-dimensional affine-metric space. The gravitational and the electromagnetic field are presented in terms of the metric tensor of a 5-dimensional space-time. The equations of the theory are deduced from the variation principle with the use of the (4 + 1)-splitting formalism. Exact spherically symmetrical solutions have been obtained for the system of equations of the presented theory, and their possible astrophysical consequences have been investigated.

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REFERENCES

  1. Yu. S. Vladimirov, Frames of Reference in Gravitation Theory [in Russian], Energoizdat, Moscow (1982).

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  2. V. G. Krechet, Gravitation and Electromagnetism [in Russian], BSU Publishers, Minsk (1998).

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  3. V. G. Krechet, M. V. Levkoeva, and D. V. Sadovnikov, The geometric electromagnetic field theory in a 5-dimensional affine-metric space, in: Proc. 10th Russian Gravitational Conf., Vladimir, 1999.

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Authors and Affiliations

  1. Yaroslavl State Pedagogical University, Russia

    V. G. Krechet, M. V. Levkoeva & D. V. Sadovnikov

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  1. V. G. Krechet
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  2. M. V. Levkoeva
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  3. D. V. Sadovnikov
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Krechet, V.G., Levkoeva, M.V. & Sadovnikov, D.V. A Five-Dimensional Model of the Gravitational Interaction of an Electromagnetic Field in an Affine-Metric Space. Russian Physics Journal 43, 933–937 (2000). https://doi.org/10.1023/A:1011378908238

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  • DOI: https://doi.org/10.1023/A:1011378908238

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