Within the limits of five-dimensional geometrical theory, a number of solutions are obtained for the model describing a self-gravitating ideal liquid in the five-dimensional space with nonmetricity of the Weyl type.
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H. Weyl, Gravitation and Electricity [Russian translation], Mir, Moscow (1979).
V. G. Krechet, Russ. Phys. J., 50, No. 10, 1021 (2007).
V. G. Krechet and D. V. Sadovnikov, Gravitat. Cosmol., 60, No. 4 (2009).
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 4, pp. 68–74, April, 2012.
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Kiselev, A.S., Krechet, V.G. Static distributions of matter in the five-dimensional Riemann–Weyl space. Russ Phys J 55, 417–425 (2012). https://doi.org/10.1007/s11182-012-9828-z
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DOI: https://doi.org/10.1007/s11182-012-9828-z