Spin precession along circular orbits in the Kerr spacetime: the Frenet-Serret description
Donato Bini, Fernando de Felice, Andrea Geralico, Robert T. Jantzen

TL;DR
This paper investigates the behavior of spinning particles moving along circular orbits around a rotating black hole, using the Frenet-Serret formalism to analyze spin precession in Kerr spacetime.
Contribution
It introduces a detailed Frenet-Serret description of spin precession for particles with variable spin components along circular Kerr orbits.
Findings
Derived explicit formulas for spin precession in Kerr spacetime.
Analyzed the effects of spin tensor variations on particle motion.
Provided insights into spin dynamics near rotating black holes.
Abstract
The circular motion of spinning massive test particles in the equatorial plane of a rotating black hole is investigated in the case in which the components of the spin tensor are allowed to vary along the orbit.
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