Obtention of a Gravitational Force from a Relativistic Solution to Binet's Equation: The Schwarzschild's Case

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dc.creatorSoldovieri, Terenzio
dc.creatorS, Angel G. Muñoz
dc.date2001-05-30
dc.date2003-12-16
dc.date.accessioned2026-07-07T03:25:57Z
dc.date.available2026-07-07T03:25:57Z
dc.descriptionMaking use of the classical Binet's equation a general procedure to obtain the gravitational force corresponding to an arbitrary 4-dimensional spacetime is presented. This method provides, for general relativistic scenarios, classics expressions that may help to visualize certain effects that Newton's theory can not explain. In particular, the force produced by a gravitational field which source is spherically symmetrical (Schwarzschild's spacetime) is obtained. Such expression uses a redefinition of the classical reduced mass, in the limit case it can be reduced to Newton's Universal Law of Gravitation and it produces two different orbital velocities for test particles that asimptotically coincide with the Newtonian one. PACS: 04.25.Nx, 95.10.Ce, 95.30.Sf. Keywords: Universal gravitational law, perihelionshift, Schwarzschild potential, reduced mass.
dc.description5 pages, LaTeX, 3 figures
dc.identifierhttps://arxiv.org/abs/gr-qc/0105116
dc.identifierhttp://arxiv.org/abs/gr-qc/0105116
dc.identifierRev.Mex.Fis. 49 (2003) 271-275
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/33912
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectPhysics Education
dc.titleObtention of a Gravitational Force from a Relativistic Solution to Binet's Equation: The Schwarzschild's Case
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