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

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 $\mathbf{S}$ as a fictitious rotation of the central body with angular momentum $\mathbf{J}=\frac{M}{m}\mathbf{S}$. 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.

4 pages. arXiv admin note: substantial text overlap with arXiv:1709.06894

References in corpus (4)

• The Confrontation between General Relativity and Experiment
• Relativistic corrections to the algebra of position variables and spin-orbital interaction
• Kerr-Sen Black Hole as Accelerator for Spinning Particles
• Lagrangian for the Frenkel electron

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