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arXiv · 1802.08079

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

Alexei A. Deriglazov·Walberto Guzmán Ramírez
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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.

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Alexei A. Deriglazov, Walberto Guzmán Ramírez. 2018-02-21. Frame-dragging effect in the field of non rotating body due to unit gravimagnetic moment. https://doi.org/10.1016/j.physletb.2018.01.063

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