Equations of Motion of Spinning Relativistic Particle in Electromagnetic and Gravitational Fields

Abstract

We consider the motion of a spinning relativistic particle in external electromagnetic and gravitational fields, to first order in the external field, but to an arbitrary order in spin. The noncovariant spin formalism is crucial for the correct description of the influence of the spin on the particle trajectory. We show that the true coordinate of a relativistic spinning particle is its naive, common coordinate $\r$. Concrete calculations are performed up to second order in spin included. A simple derivation is presented for the gravitational spin-orbit and spin-spin interactions of a relativistic particle. We discuss the gravimagnetic moment (GM), a specific spin effect in general relativity. It is shown that for the Kerr black hole the gravimagnetic ratio, i.e., the coefficient at the GM, equals unity (just as for the charged Kerr hole the gyromagnetic ratio equals two). The equations of motion obtained for relativistic spinning particle in external gravitational field differ essentially from the Papapetrou equations.

32 pages, latex, Plenary talk at the Fairbank Meeting on the Lense--Thirring Effect, Rome-Pescara, 29/6-4/7 1998

References in corpus (4)

• Equations of Motion for Spinning Particles in External\\Electromagnetic and Gravitational Fields
• Gravitational Interaction of Spinning Bodies, Center-of-Mass Coordinate and Radiation of Compact Binary Systems
• Spinning Relativistic Particle in an External Electromagnetic Field
• Electromagnetic Deflection of Spinning Particles

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• Relativistic quantum mechanics of a Proca particle in Riemannian spacetimes
• Spinning bodies in General Relativity
• Holographic Constraints on a Vector Boson
• Electric dipole moment in storage ring experiments
• Pseudoscalar corrections to spin motion equation, search for electric dipole moment and muon magnetic (g-2) factor
• Exact Foldy-Wouthuysen transformation for a Dirac equation describing the interaction of spin-1/2 relativistic particles with an external electromagnetic field