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Spin dynamics in gravitational fields of rotating bodies and the equivalence principle

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arxiv 0907.4367 v2 pith:EYKUZM2S submitted 2009-07-24 gr-qc hep-th

Spin dynamics in gravitational fields of rotating bodies and the equivalence principle

Yuri N. Obukhov , Alexander J. Silenko , Oleg V. Teryaev This is my paper
classification gr-qc hep-th
keywords spinclassicalcurveddynamicsgravitationalmotionobtainedparticle
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We discuss the quantum and classical dynamics of a particle with spin in the gravitational field of a rotating source. A relativistic equation describing the motion of classical spin in curved spacetimes is obtained. We demonstrate that the precession of the classical spin is in a perfect agreement with the motion of the quantum spin derived from the Foldy-Wouthuysen approach for the Dirac particle in a curved spacetime. We show that the precession effect depends crucially on the choice of a tetrad. The results obtained are compared to the earlier computations for different tetrad gauges.

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    A Foldy-Wouthuysen reduction of the generalized Dirac equation in symmetric teleparallel gravity produces new spin-gravity, spin-momentum-gravity, and tidal couplings controlled by unknown parameters.