Steinhoff, Jan and Puetzfeld, Dirk (2012), "Influence of internal structure on the motion of test bodies in extreme
mass ratio situations", PHYSICAL REVIEW D, 86, 4.
Abstract: We investigate 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.
The motion of pole-dipole and quadrupole test bodies is studied in the
context of the Kerr geometry. For an explicit quadrupole model, which
includes spin and tidal interactions, the motion in the equatorial plane
is characterized by an effective potential and by the binding energy. We
compare our findings to recent results for the conservative part of the
self-force of bodies in extreme mass ratio situations. Possible
implications for gravitational wave physics are outlined.