Abstract
Using the Riemann metric for event space, which leads to Newtonian mechanics at nonrelativistic velocities and not necessarily weak gravitational fields, the dynamics of relativistic particles in external gravitational fields are considered. Trajectories, laws of motion, and equations of light rays are found in homogeneous and Newtonian fields.
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 10, pp. 56–61, October, 1977.
In conclusion the authors thank Yu. G. Pavlenko for his evaluation of the results and valuable advice.
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Kuz'menkov, L.S., Naumov, N.D. Relativistic particle dynamics in external gravitational fields. Soviet Physics Journal 20, 1301–1304 (1977). https://doi.org/10.1007/BF00898903
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DOI: https://doi.org/10.1007/BF00898903