Highly relativistic circular orbits of spinning particle in the Kerr field

Roman Plyatsko and Mykola Fenyk
Phys. Rev. D 87, 044019 – Published 7 February 2013

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 γ 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.

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  • Received 6 November 2012

DOI:https://doi.org/10.1103/PhysRevD.87.044019

© 2013 American Physical Society

Authors & Affiliations

Roman Plyatsko and Mykola Fenyk

  • Pidstryhach Institute for Applied Problems in Mechanics and Mathematics, Ukrainian National Academy of Sciences, 3-b Naukova Street, Lviv 79060, Ukraine

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Issue

Vol. 87, Iss. 4 — 15 February 2013

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