Relativistic Motion of Spinning Particles in a Gravitational Field

Abstract

The relative motion of a classical relativistic spinning test particle is studied with respect to a nearby free test particle in the gravitational field of a rotating source. The effects of the spin-curvature coupling force are elucidated and the implications of the results for the motion of rotating plasma clumps in astrophysical jets are discussed.

12 pages, 2 figures, v2: a few minor typos corrected, accepted for publication in Phys. Lett. A

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• Highly relativistic spinning particle in the Schwarzschild field: Circular and other orbits
• Highly relativistic spinning particle starting near $r_{ph}^{(-)}$ in a Kerr field
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• Spin-rotation couplings: spinning test particles and Dirac field
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• Double-Kasner Spacetime: Peculiar Velocities and Cosmic Jets
• Multi-scale Constraints on Scalar-Field couplings to Matter: The Geodetic and Frame-Dragging Effects
• The Spectrum of Electromagnetic Jets from Kerr Black Holes and Naked Singularities in the Teukolsky Perturbation Theory
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• Spinning Particles in Twisted Gravitational Wave Spacetimes
• Orbits in the Field of a Gravitating Magnetic Monopole
• Isothermal Plasma Waves in Gravitomagnetic Planar Analogue
• Perturbation Method for Classical Spinning Particle Motion: II. Vaidya Space-Time
• An Analytic Perturbation Approach for Classical Spinning Particle Dynamics
• Gravitational Burst Radiation from Pulsars in the Galactic centre and stellar clusters
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• Spin-Gravity Coupling in a Rotating Universe
• General Relativistic Gravity Gradiometry
• Precisely computing bound orbits of spinning bodies around black holes I: General framework and results for nearly equatorial orbits
• Dynamics of classical and quantum spin in external fields: A general formalism