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A Journal of Russian Academy of Sciences
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IssuesArchive of Issues2021-8pp.1638-1650

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N.I. Amel'kin, "On Models of Gravitational Interaction," Mech. Solids. 56 (8), 1638-1650 (2021)
Year 2021 Volume 56 Number 8 Pages 1638-1650
DOI 10.3103/S0025654421080021
Title On Models of Gravitational Interaction
Author(s) N.I. Amel'kin (Moscow Institute of Physics and Technology, Dolgoprudny, Russia, namelkin@mail.ru)
Abstract As part of the problem of inertial motion in curved space-time, a single-parametric family of gravitational models is found, for which the displacement of perihelion orbits of planets and the deviation of light rays in the gravitational field of the Sun coincide with the values predicted by the general theory of relativity (GTR). One model stands out from this family, in which gravitational interaction is strictly central, and at zero relative speed of interacting material points it is accurately described by Newton’s law of gravitation.
Keywords Newton’s law of gravitation, general theory of relativity, gravitational-interaction models
Received 11 January 2021Revised 20 April 2021Accepted 20 May 2021
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