Mathisson Equations: Non-Oscillatory Solutions in a Schwarzschild Field
General Relativity and Quantum Cosmology
2008-11-26 v1
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.
Keywords
Cite
@article{arxiv.0802.0652,
title = {Mathisson Equations: Non-Oscillatory Solutions in a Schwarzschild Field},
author = {Roman Plyatsko and Oleksandr Stefanyshyn},
journal= {arXiv preprint arXiv:0802.0652},
year = {2008}
}
Comments
11 pages, 3 figures