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On Relativistic Generalization of Gravitational Force

2006/11/16 by Anatoli Vankov, Anatoli Andrei Vankov, Vankov, Anatoli Andrei
Physics and Astronomy · #Cosmology and Gravitation Theories #FOS: Physical sciences #General Physics (physics.gen-ph) #Pulsars and Gravitational Waves Research #Relativity and Gravitational Theory #physics.gen-ph

paper · pdf · doi:10.48550/arxiv.physics/0611161

34 pages, 1 figure

arxiv created 2006/11/16 · openalex publication_date 2006/11/16 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The problem of point particle in the 1/r gravitational field was studied in SR-based Mechanics. Equations of motion under assumption of field dependent proper mass were obtained in the relativistic Lagrangean framework. The dependence of proper mass on field strength was derived from the equations of particle motion. The result was the elimination of 1/r divergence. It was shown that a photon in a gravitational field may be described in terms of a refracting massless medium. This makes the gravity phenomenon compatible with SR. New results concerning gravitational properties of particle and photon are discussed. The conclusion is made that the approach of field-dependent proper mass is perspective for further studies on divergence-free gravitational field development. Key words: Relativity, gravity, particle, photon, speed of light, proper mass variation. \small\it PACS 03.30.+p, 04.20.-g

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