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Gravitational field of a nonstatic spherically symmetric body in the relativistic theory of gravitation. (English. Russian original) Zbl 0584.53030
Theor. Math. Phys. 64, 647-649 (1985); translation from Teor. Mat. Fiz. 64, No. 1, 3-6 (1985).
The author’s relativistic theory of gravitation describes the gravitation as a field in Minkowski space. As shown in this paper, in this theory the exterior gravitational field of a nonstatic spherically symmetric body is static and spherically symmetric (the analogue of Birkhoff’s theorem). The corresponding metric is shown to coincide with the well-known Fock integral.
Reviewer: Z.Seidov

MSC:
53B50 Applications of local differential geometry to the sciences
83D05 Relativistic gravitational theories other than Einstein’s, including asymmetric field theories
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[1] A. A. Logunov and A. A. Vlasov, Teor. Mat. Fiz.,60, 3 (1984); A. A. Vlasov, A. A. Logunov, and M. A. Mestvirishvili, Teor. Mat. Fiz.,61, 323 (1984); A. A. Logunov and M. A. Mestvirishvili, Teor. Mat. Fiz.,61, 327 (1984).
[2] L. D. Landau and E. M. Lifshitz, The Classical Theory of Fields, 4th ed., Pergamon Press, Oxford (1975). · Zbl 0178.28704
[3] A. A. Vlasov and A. A. Logunov, Impossibility of Catastrophically Strong Contraction of a Massive Body in the Relativistic Theory of Gravitation [in Russian], State University, Moscow (1984).
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