In this paper, we investigate the motion of a classical spinning test particle in a background
of a spherically symmetric black hole based on the novel four-dimensional Einstein–Gauss …

In General Relativity, the propagation of electromagnetic waves is usually described by the
vacuum Maxwell's equations on a fixed curved background. In the limit of infinitely high …

The detection of gravitational waves from extreme mass ratio inspirals (EMRIs) by the future
space-based gravitational-wave detectors demands the generation of accurate enough …

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 …

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 …

Originally introduced in connection with general relativistic Coriolis forces, the term frame-
dragging is associated today with a plethora of effects related to the off-diagonal element of …

Spin of a test particle is a fundamental property that can affect its motion in a gravitational
field. In this work we consider the effect of particle spin on its deflection angle and …

The Mathisson-Papapetrou-Dixon (MPD) equations describe the motion of an extended test
body in general relativity. This system of equations, though, is underdetermined and has to …

The Mathisson-Papapetrou-Dixon equations describe the motion of spinning test particles in
the pole-dipole approximation. It is well known that these equations, which couple the …

The worldline of a spinning test body moving in curved spacetime can be provided by the
Mathisson-Papapetrou-Dixon equations when its centroid, ie, its center of mass, is fixed by a …