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Interacting fields in general relativity theory

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Abstract

The direct interaction of a massless neutral scalar field with an electromagnetic field is investigated with regard for the proper gravitational field. The interaction Lagrangian is chosen in the form Lint=FαβFαβ, Φ =eσψ−1, where the parameter σ characterizes the interaction force. Exact static spherically and cylindrically symmetric solutions are obtained. A solution with a finite total field energy is extracted. A comparison is made with the corresponding system in flat space-time. It is concluded that the gravitational field performs a regulatory function.

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Authors and Affiliations

  1. M. V. Lomonosov Moscow State University, USSR

    K. A. Bronnikov & G. N. Shikin

Authors
  1. K. A. Bronnikov
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  2. G. N. Shikin
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Additional information

Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 9, pp. 25–30, September, 1977.

The authors are indebted to Yu. S. Vladimirov for valuable comments.

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Bronnikov, K.A., Shikin, G.N. Interacting fields in general relativity theory. Soviet Physics Journal 20, 1138–1143 (1977). https://doi.org/10.1007/BF00897114

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  • DOI: https://doi.org/10.1007/BF00897114

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