Motion of spinning test bodies in Kerr spacetime

Abstract

We investigate the motion of spinning test bodies in General Relativity. By means of a multipolar approximation method for extended test bodies we derive the equations of motion, and classify the orbital motion of pole-dipole test bodies in the equatorial plane of the Kerr geometry. An exact expression for the periastron shift of a spinning test body is given. Implications of test body spin corrections are studied and compared with the results obtained by means of other approximation schemes.

12 pages, 5 figures, RevTex format

References in corpus (6)

• Gravity Probe B: Final Results of a Space Experiment to Test General Relativity
• Dynamics of Extended Spinning Masses in a Gravitational Field
• Dynamics of test bodies with spin in de Sitter spacetime
• Perturbation Method for Classical Spinning Particle Motion: I. Kerr Space-Time
• An Analytic Perturbation Approach for Classical Spinning Particle Dynamics
• Perturbation Method for Classical Spinning Particle Motion: II. Vaidya Space-Time

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