It is shown that, neglecting the contribution of the gravitational field of a substance to the energy—momentum tensor of this substance, the complete energy of a system of two (or more) nonrelativistic bodies determined by the Hilbert-Einstein equations contains the energy of the gravitational repulsion of these bodies rather than the energy of their Newton attraction (as it should). If this contribution (determined covariantly) is taken into account, no contradictions with the Newton statement of the problem of two (or more) bodies arise. Some consequences of this contribution are given; one of them is the appearance of an equilibrium equation for the external field.
Department of Quantum Theory and High-Energy Physics, Faculty of Physics, Moscow State University, Leninskie Gory, Moscow, 119992, Russia
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