Journal of Physical Studies 15(3), Article 3004 [9 pages] (2011)
DOI: https://doi.org/10.30970/jps.15.3004

STRONG ANTIGRAVITY EFFECTS FOR THE SPINNING PARTICLE IN A KERR FIELD

R. M. Plyatsko, M. T. Fenyk
Pidstryhach Institute for Applied Problems in Mechanics and Mathematics,
of the National Academy of Sciences of Ukraine,
3-b Naukova St., Lviv, 79060, Ukraine,
plyatsko@lms.lviv.ua

The world lines and trajectories of the highly relativistic spinning particle in the space region near $r_{\rm ph}^{(-)}$ in a Kerr field are investigated. They are significantly non-geodesic lines and show the effects of the gravitational repulsion that are caused by the interaction of spin with the curvature of the space-time. These lines are described by the solutions of the Mathisson-Papapetrou equations which are determined by their linear spin approximation. Therefore, these solutions and the corresponding physical conclusions do not depend on the choice of the Mathisson-Pirani or Tulczyjew-Dixon supplementary condition.

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