Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2011-10-10
Class. Quantum Grav. 28, 195025 (2011)
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
21 pages, 11 figures. arXiv admin note: substantial text overlap with arXiv:1105.2405
Scientific paper
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.
Fenyk Mykola
Plyatsko Roman
Stefanyshyn Oleksandr
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