Journal of Physical Studies 13(3), Article 3003 [10 pages] (2009) DOI: https://doi.org/10.30970/jps.13.3003 GRAVITATIONAL REPULSION FOR SPINNING PARTICLES IN A SCHWARZSCHILD FIELD R. M. Plyatsko, O. B. Stefanyshyn IPidstryhach Institute for Applied Problems in Mechanics and Mathematics of the National Academy of Sciences of Ukraine 3-b Naukova St., Lviv, 79060, Ukraine

The effects of the gravitational repulsion in the cases of solutions of the Mathisson-Papapetrou equations which describe the circular or close to circular orbits in the small region of the value $r=3M$ in a Schwarzschild field are considered. It is shown that these effects follow from the Mathisson-Papapetrou equations both at the Frenkel-Mathisson and Tulczyjew-Dixon conditions. Attention is also paid to the possibilities of manifestations of the gravitational repulsion in some astrophysical phenomena.

PACS number(s): 04.20.-q, 95.30.Sf

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