%0 Journal Article
%T Highly relativistic circular orbits of spinning particle in the Kerr field
%A Roman Plyatsko
%A Mykola Fenyk
%J Physics
%D 2013
%I arXiv
%R 10.1103/PhysRevD.87.044019
%X The Mathisson-Papapetrou equations in Kerr's background are considered. The region of existence of highly relativistic planar circular orbits of a spinning particle in this background and dependence of the particle's Lorentz $\gamma$-factor on its spin and radial coordinate are investigated. It is shown that in contrast to the highly relativistic circular orbits of a spinless particle the corresponding orbits of a spinning particle are allowed in much wider space region. Some of these orbits show the significant attractive action of the spin-gravity coupling on a particle and others are caused by the significant repulsive action. Numerical estimates for electrons, protons and neutrinos in the gravitational field of black holes are presented.
%U http://arxiv.org/abs/1303.4707v1