Geodesic
Theory of gravitation based on Minkowski space and the principle of geometrization
Teoretičeskaâ i matematičeskaâ fizika, Tome 61 (1984) no. 3, pp. 323-326

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A theory of gravitation is constructed on the basis of Minkowski space and the principle of geometrization. In it, the first six equations are Hilbert–Einstein equations, while the remaining four field equations are universal covariant harmonicity conditions. In contrast to the general theory of relativity, there are rigorous conservation laws for the energy, momentum, and angular momentum of a closed system. In the theory, only a “fiat” universe is possible, and therefore the matter density must be equal to the critical density. 
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     title = {Theory of gravitation based on {Minkowski} space and the principle of geometrization},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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A. A. Vlasov; A. A. Logunov; M. A. Mestvirishvili. Theory of gravitation based on Minkowski space and the principle of geometrization. Teoretičeskaâ i matematičeskaâ fizika, Tome 61 (1984) no. 3, pp. 323-326. http://geodesic.mathdoc.fr/item/TMF_1984_61_3_a0/