PT6 - Dynamics of extended test objects -- equations of motion and their solution |
Speaker |
Laemmerzahl, Claus |
Coauthors |
E. Hackmann, Y,N. Obukhov, D. Puetzfeld, I. Schaffer |
Talk Title |
Analytic solution of spining particle motion in Kerr space-time |
Abstract |
The motion of spinning test bodies in General Relativity is analyzed. By means of a multipolar approximation method for extended test bodies we derive the equations of motion. We specify the motion of the spinning pole-dipole particle to lie in the equatorial plane of a Kerr black hole geometry and completely classify the orbital motion. The analytic solution for this kind of motion is presented. 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. |
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