Within the framework of the five-dimensional geometric theory, the problem of gravitational interaction of a vortex gravitational and scalar fields is investigated. A solution of the five-dimensional Einstein vacuum equations is derived. The results obtained are compared with those obtained previously within the framework of the four-dimensional theory.
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V. G. Krechet, Russ. Phys. J., 50, No. 10, 1021–1025 (2007).
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 5, pp. 92–94, May, 2012.
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Kiselev, A.S., Krechet, V.G. Gravitational interaction of a geometric scalar field with a vortex gravitational field in five-dimensional spacetime. Russ Phys J 55, 576–579 (2012). https://doi.org/10.1007/s11182-012-9850-1
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DOI: https://doi.org/10.1007/s11182-012-9850-1