Frame-dragging effect in the field of non rotating body due to unit gravimagnetic moment

TL;DR

This paper investigates the effects of a unit gravimagnetic moment on the motion and spin precession of particles in a gravitational field, revealing potential experimental tests for gravimagnetic properties of rotating bodies.

Contribution

It derives a modified set of equations incorporating nonminimal spin-gravity interaction with a unit gravimagnetic moment and computes the corresponding Hamiltonian and post-Newtonian corrections.

Findings

Modified equations predict spin precession similar to a rotating mass.

Exact Hamiltonian formulation for the theory is provided.

Potential experimental tests for gravimagnetic moments are suggested.

Abstract

Nonminimal spin-gravity interaction through unit gravimagnetic moment leads to modified Mathisson-Papapetrou-Tulczyjew-Dixon equations with improved behavior in the ultrarelativistic limit. We present exact Hamiltonian of the resulting theory and compute an effective $\frac{1}{c^2}$\,-Hamiltonian and leading post-Newtonian corrections to the trajectory and spin. Gravimagnetic moment causes the same precession of spin ${\bf S}$ as a fictitious rotation of the central body with angular momentum ${\bf J}=\frac{M}{m}{\bf S}$. So the modified equations imply a number of qualitatively new effects, that could be used to test experimentally, whether a rotating body in general relativity has null or unit gravimagnetic moment.