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On Models of Gravitational Interaction

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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.

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ACKNOWLEDGMENTS

I am grateful to Academician V.F. Zhuravlev for discussion of the paper and comments.

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Authors and Affiliations

  1. Moscow Institute of Physics and Technology, Dolgoprudny, Russia

    N. I. Amel’kin

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  1. N. I. Amel’kin
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Correspondence to N. I. Amel’kin.

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Translated by E. Seifina

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Amel’kin, N.I. On Models of Gravitational Interaction. Mech. Solids 56, 1638–1650 (2021). https://doi.org/10.3103/S0025654421080021

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  • DOI: https://doi.org/10.3103/S0025654421080021

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