Abstract
Within the general theory of relativity the interaction between scalar and vector massless fields with interaction LagrangianF αβ F αβ Ψ (ϕ) is considered, where ψ is an arbitrary function of the scalar field. For six types of space-time symmetry (spherical, cylindrical, pseudospherical, planar, pseudoplanar, and toroidal) such interaction induces nonlinearity in the scalar field, which can be chosen in trigonometric (for example, sin-Gordon) or polynomial form. Exact solutions of the field equations are obtained for all six symmetries. The spherically symmetric solutions are studied in detail and solitionlike solutions are found.
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika,No. 9, pp. 23–26, September, 1983.
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Bronnikov, K.A., Shikin, G.N. Solitonlike solutions for interacting fields with consideration of gravitation. Soviet Physics Journal 26, 791–794 (1983). https://doi.org/10.1007/BF00891841
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DOI: https://doi.org/10.1007/BF00891841