On a Representation of Mathisson-Papaetrou-Dixon Equations in the Kerr Metric
General Relativity and Quantum Cosmology
2011-05-13 v1 High Energy Astrophysical Phenomena
Abstract
New representation of the exact Mathisson-Papapetrou-Dixon equations at the Mathisson-Pirani condition in the Kerr metric which does not contain the third-order derivatives of the coordinates of a spinning particle is obtained. For this purpose the integrals of energy and angular momentum of the spinning particle as well as a differential relationship following from the Mathisson-Papapetrou-Dixon equations are used. The form of these equations is adapted for their computer integration with the aim of further investigations of the influence of the spin-curvature interaction on the particle's behavior in the gravitational field without restrictions on its velocity and spin orientation.
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Cite
@article{arxiv.1105.2405,
title = {On a Representation of Mathisson-Papaetrou-Dixon Equations in the Kerr Metric},
author = {Roman Plyatsko and Oleksandr Stefanyshyn and Mykola Fenyk},
journal= {arXiv preprint arXiv:1105.2405},
year = {2011}
}
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15 pages