2011/10/10 by Roman Plyatsko, Oleksandr Stefanyshyn, Mykola Fenyk · 1 citation
Physics and Astronomy · #gr-qc #astro-ph.HE #hep-th
paper · pdf · doi:10.1088/0264-9381/28/19/195025
published as Class. Quantum Grav. 28, 195025 (2011) · 21 pages, 11 figures. arXiv admin note: substantial text overlap with arXiv:1105.2405
arxiv created 2011/10/10 · arxiv updated 2015/05/29
A new representation, which does not contain the third-order derivatives of the coordinates, of the exact Mathisson-Papapetrou-Dixon equations, describing the motion of a spinning test particle, is obtained under the assumption of the Mathisson-Pirani condition in a Kerr background. 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 to investigate the influence of the spin-curvature interaction on the particle's behavior in the gravitational field without restrictions on its velocity and spin orientation. Some numerical examples for a Schwarzschild background are presented.