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

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Cited by in corpus (52)

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• Motion of spinning test bodies in Kerr spacetime
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• Assessing the detectability of the secondary spin in extreme mass-ratio inspirals with fully-relativistic numerical waveforms
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• General treatment of quantum and classical spinning particles in external fields
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• Mathisson-Papapetrou-Dixon equations in the Schwarzschild and Kerr backgrounds
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• Spin-geodesic deviations in the Schwarzschild spacetime
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• Nethotrons: exploring the possibility of measuring relativistic spin precessions, from Earth's satellites to the Galactic Centre