On common solutions of Mathisson equations under different conditions

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dc.creatorPlyatsko, Roman
dc.creatorStefanyshyn, Oleksandr
dc.date2008-03-03
dc.date.accessioned2026-07-07T09:24:18Z
dc.date.available2026-07-07T09:24:18Z
dc.descriptionIn the context of investigations of possible highly relativistic motions of a spinning particle in the gravitational field, which can be described by the Mathisson equations under different supplementary condition, we analyze the circular orbits in a Schwarzschild field. The very orbits most clearly demonstrate the effect of the gravitational spin-orbit interaction on the particle's motion. It is shown that the Mathisson equations under the Frenkel-Mathisson and Tulczyjew-Dixon conditions have the common solutions describing the highly relativistic circular orbits in the region $r=3M(1+δ), |δ|\ll 1$. These orbits essentially differ from the geodesic circular orbits in the same region, particularly by the value of the particle's energy on the corresponding orbits.
dc.description10 pages
dc.identifierhttps://arxiv.org/abs/0803.0121
dc.identifierhttp://arxiv.org/abs/0803.0121
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/156050
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleOn common solutions of Mathisson equations under different conditions
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