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

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 1c2-Hamiltonian and leading post-Newtonian corrections to the trajectory and spin. Gravimagnetic moment causes the same precession of spin S as a fictitious rotation of the central body with angular momentum J=MmS. 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.

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