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Dynamics of Extended Spinning Masses in a Gravitational Field

Bahram Mashhoon·Dinesh Singh
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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.

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Bahram Mashhoon, Dinesh Singh. 2006-11-30. Dynamics of Extended Spinning Masses in a Gravitational Field. https://doi.org/10.1103/physrevd.74.124006

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