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Theory of gravitation based on Minkowski space and the principle of geometrization. (English. Russian original) Zbl 0579.53051
Theor. Math. Phys. 61, 1167-1169 (1984); translation from Teor. Mat. Fiz. 61, No. 3, 323-326 (1984).
On the basis of the authors’ theory of gravitation, the six Hilbert- Einstein equations are supplemented by four covariant harmonic equations for the gravitational field. All three conservation laws are rigourously satisfied, and only a flat universe is possible, according to the theory.
Reviewer: Z.Seidov

53B50 Applications of local differential geometry to the sciences
83D05 Relativistic gravitational theories other than Einstein’s, including asymmetric field theories
83E99 Unified, higher-dimensional and super field theories
83E05 Geometrodynamics and the holographic principle
Full Text: DOI
[1] A. A. Logunov et al., Teor. Mat. Fiz.,40, 291 (1979).
[2] V. I. Denisov and A. A. Logunov, Teor. Mat. Fiz.,50, 3 (1982); Fiz. Elem. Chastits At. Yadra,13, 757 (1982); in: Modern Problems of Mathematics, Vol. 21 (Itogi nauki i tekhn., VINITI AN SSSR) [in Russian], VINITI, Moscow (1982), pp. 3-216.
[3] A. A. Logunov and A. A. Vlasov, Minkowski Space as the Basis of a Physical Theory of Gravitation [in Russian], State University, Moscow (1984). · Zbl 0576.53072
[4] A. A. Logunov and A. A. Vlasov, Spherically Symmetric Solution in the Theory of Gravitation Based on Minkowski Space [in Russian], State University, Moscow (1984). · Zbl 0576.53073
[5] N. Rosen, Phys. Rev.,57, 147 (1940); Ann. Phys. (N. Y.),22, 1 (1963). · Zbl 0023.18705 · doi:10.1103/PhysRev.57.147
[6] A. Papapetrou, Proc. R. Ir. Acad. Sect. A,52, 11 (1948).
[7] S. Gupta, Proc. Phys. Soc. London, Sect. A,65, 608 (1952). · Zbl 0047.21502 · doi:10.1088/0370-1298/65/8/304
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