MG13 - Talk detail

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Abstract

We present a recent investigation (arXiv:1205.3926) on the motion of test bodies with internal structure in General Relativity. We utilize a multipolar approximation scheme along the lines of Mathisson-Papapetrou-Dixon including the quadrupolar order. For the quadrupole an explicit model is required, which crucially depends on the internal structure. We adopt a quadrupole model inspired by effective actions recently proposed in the context of the post-Newtonian approximation (including spin-squared and tidal contributions). The motion of these test bodies is studied in the equatorial plane of the Kerr geometry, where it can be characterized by an effective potential or the binding energy. We compare our findings to recent results for the conservative part of the self-force in astrophysically realistic situations.

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