Dynamics of Extended Spinning Masses in a Gravitational Field

Abstract

We develop a first-order approximation method for the influence of spin on the motion of extended spinning test masses in a gravitational field. This approach is illustrated for approximately circular equatorial motion in the exterior Kerr spacetime. In this case, the analytic results for the first-order approximation are compared to the numerical integration of the exact system and the limitations of the first-order results are pointed out. Furthermore, we employ our analytic results to illustrate the gravitomagnetic clock effect for spinning particles.

16 pages, 3 figures; v2: 15 pages, 3 figures, improved version to appear in Phys. Rev. D

References in corpus (5)

• Tidal Dynamics in Kerr Spacetime
• On the Possibility of Measuring the Gravitomagnetic Clock Effect in an Earth Space-Based Experiment
• Spin precession along circular orbits in the Kerr spacetime: the Frenet-Serret description
• Charged spinning particles on circular orbits in the Reissner-Nordström spacetime
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