Mathisson Equations: Non-Oscillatory Solutions in a Schwarzschild Field

Abstract

The Mathisson equations under the Frenkel-Mathisson supplementary condition are studied in a Schwarzschild field. The choice of solutions, which describe the motions of the proper center of mass of a spinning test particle, is discussed, and the calculation procedure for highly relativistic motions is proposed. The very motions are important for astrophysics while investigating possible effects of the gravitational spin-orbit interaction on the particle's world line and trajectory.

11 pages, 3 figures

Cited by in corpus (4)

• Spinning particles in general relativity: Momentum-velocity relation for the Mathisson-Pirani spin condition
• Center of mass, spin supplementary conditions, and the momentum of spinning particles
• Spacetime dynamics of spinning particles - exact electromagnetic analogies
• Highly relativistic spinning particle in the Schwarzschild field: Circular and other orbits