Mathisson Equations: Non-Oscillatory Solutions in a Schwarzschild Field

Details Mathisson Equations: Non-Oscillatory Solutions in a Schwarzschild Field Mathisson Equations: Non-Oscillatory Solutions in a Schwarzschild Field

2008-02-05

arxiv.org/abs/0802.0652v1

ActaPhys.Polon.B39:23,2008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

11 pages, 3 figures

Scientific paper

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.

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