On a Representation of Mathisson-Papaetrou-Dixon Equations in the Kerr Metric

Details On a Representation of Mathisson-Papaetrou-Dixon Equations in the Kerr Metric On a Representation of Mathisson-Papaetrou-Dixon Equations in the Kerr Metric

2011-05-12

arxiv.org/abs/1105.2405v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

15 pages

Scientific paper

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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