Abstract
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 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 a 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.
9 More- Received 6 November 2012
DOI:https://doi.org/10.1103/PhysRevD.87.044019
© 2013 American Physical Society