zbMATH — the first resource for mathematics

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

53B50 Applications of local differential geometry to the sciences
83D05 Relativistic gravitational theories other than Einstein’s, including asymmetric field theories
Full Text: DOI
[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).
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.