Highly relativistic spinning particle starting near $r_{ph}^{(-)}$ in a Kerr field

Abstract

Using the Mathisson-Papapetrou-Dixon (MPD) equations, we investigate the trajectories of a spinning particle starting near $r_{ph}^{(-)}$ in a Kerr field and moving with the velocity close to the velocity of light ($r_{ph}^{(-)}$ is the Boyer-Lindquist radial coordinate of the counter-rotation circular photon orbits). First, as a partial case of these trajectories, we consider the equatorial circular orbit with $r=r_{ph}^{(-)}$. This orbit is described by the solution that is common for the rigorous MPD equations and their linear spin approximation. Then different cases of the nonequatorial motions are computed and illustrated by the typical figures. All these orbits exhibit the effects of the significant gravitational repulsion that are caused by the spin-gravity interaction. Possible applications in astrophysics are discussed.

10 pages, 12 figures

References in corpus (5)

• Spin dynamics in gravitational fields of rotating bodies and the equivalence principle
• Dynamics of Extended Spinning Masses in a Gravitational Field
• Dirac equations in curved space-time versus Papapetrou spinning particles
• Perturbation Method for Classical Spinning Particle Motion: I. Kerr Space-Time
• Tangent Euler Top in General Relativity

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• Highly relativistic spinning particle in the Schwarzschild field: Circular and other orbits
• Highly relativistic spin-gravity coupling for fermions
• Antigravity: Spin-gravity coupling in action
• Effect of Particle Spin on Trajectory Deflection and Gravitational Lensing
• Highly relativistic spin-gravity-$\Lambda$ coupling
• Nonequatorial circular orbits of spinning particles in the Schwarzschild-de Sitter background
• Solutions of Mathisson-Papapetrou equations for highly relativistic spinning particles
• Numerical solution of Mathisson-Papapetrou-Dixon equations for spinning test particles in a Kerr metric
• The Ricci Rotation Coefficients in the description of trajectories of spinning test particles off-equatorial planes in a rotational gravitational field
• On physics of a highly relativistic spinning particle in the gravitational field