Abstract
In the context of results presented in [S. A. Hojman and F. A. Asenjo, Classical Quantum Gravity 30, 025008 (2013)], we discuss different formulations of equations which are used to describe motions of a spinning test body (particle) in general relativity. The specific features of the spin-gravity interaction for highly relativistic spinning particles in Schwarzschild's background according to the Mathisson-Papapetrou equations are stressed.
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