Geodesic
Geometrized theories of gravitation
Teoretičeskaâ i matematičeskaâ fizika, Tome 32 (1977) no. 2, pp. 147-166 Cet article a éte moissonné depuis la source Math-Net.Ru

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General properties of geometrized theories of gravitation are considered. Geometrization of the theory is performed only to the extent which is necessarily prescribed by the experiment (the geometrization of the Lagrangian density of matter only). Im the general case, equations of gravitational field and equations of motion of the matter are formulated in different riemannian spaces. Covariant formulation of the energymomentum conservation laws in arbitrary geometrized theory is given. In this formulation of conservation laws, introduction of the noncovariant notion of “pseudotensor” is not required. In completely geometrized theory (e.g., in the Einstein theory) free gravitational waves do not transfer any energy. But if, by the analogy with other physical fields, we require the gravitational waves to transfer energy and momentum, the Lagrangian of the gravitational field should not be geometrized. Properties of one of the variants of quasilinear geometrized theory describing experimental facts are considered. In this theory the fundamental static solution with spherical symmetry possesses the singularity only in the centre of coordinates and as a consequence, thereare no black holes in the theory. The theory makes it possible to formulate a satisfying model of homogeneous nonstationary Universe. 
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A. A. Logunov; V. N. Folomeshkin. Geometrized theories of gravitation. Teoretičeskaâ i matematičeskaâ fizika, Tome 32 (1977) no. 2, pp. 147-166. http://geodesic.mathdoc.fr/item/TMF_1977_32_2_a0/

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