We review the recent results on development of vector models of spin and apply them to
study the influence of spin‐field interaction on the trajectory and precession of a spinning …

Inspirals of stellar-mass compact objects into supermassive black holes are known as
extreme mass ratio inspirals. In the simplest approximation, the motion of the compact object …

In a recent work [Phys. Rev. D 94, 104010 (2016) PRVDAQ 2470-0010 10.1103/PhysRevD.
94.104010], hereafter Paper I, we numerically studied different prescriptions for the …

We derive a Hamiltonian for an extended spinning test body in a curved background
spacetime, to quadratic order in the spin, in terms of three-dimensional position, momentum …

The spin-curvature coupling as captured by the so-called Mathisson–Papapetrou–Dixon
(MPD) equations is the leading order effect of the finite size of a rapidly rotating compact …

We consider a spinning test-body in circular motion around a nonrotating black hole and
analyze different prescriptions for the body's dynamics. We compare, for the first time, the …

A compact stellar-mass object inspiraling onto a massive black hole deviates from geodesic
motion due to radiation-reaction forces as well as finite-size effects. Such postgeodesic …

We revisit the conserved quantities of the Mathisson-Papapetrou-Tulczyjew equations
describing the motion of spinning particles on a fixed background. Assuming Ricci-flatness …

We study neutrino oscillations in a rotating spacetime under the weak gravity limit for the
trajectories of neutrinos which are constrained in the equatorial plane. Using the asymptotic …

We obtain Mathisson-Papapetrou-Tulczyjew-Dixon (MPTD) equations of a rotating body with
given values of spin and momentum starting from Lagrangian action without auxiliary …