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Free fall in gravitational theory

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Einstein's explanation of Mercury's perihelion motion has been verified by astronomical observations. His formula could also be obtained in Schwarzschild metric and was published already in 1898. Motion along a straight geodesic, however, namely, free fall into a gravitational center with vanishing angular momentum, is incorrectly described both by Einstein's and by Schwarzschild's equation of motion. A physical solution for free fall may be obtained by taking into account the dependence of mass on velocity in Newton's gravitational law as adopted in the physics of accelerators.

Keywords: General Relativity; Perihelion Motion; Schwarzschild Metric; Space-Time Geodesics

Document Type: Research Article

Publication date: 15 September 2017

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  • Physics Essays has been established as an international journal dedicated to theoretical and experimental aspects of fundamental problems in Physics and, generally, to the advancement of basic knowledge of Physics. The Journal's mandate is to publish rigorous and methodological examinations of past, current, and advanced concepts, methods and results in physics research. Physics Essays dedicates itself to the publication of stimulating exploratory, and original papers in a variety of physics disciplines, such as spectroscopy, quantum mechanics, particle physics, electromagnetic theory, astrophysics, space physics, mathematical methods in physics, plasma physics, philosophical aspects of physics, chemical physics, and relativity.
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