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We isolate and study the transformation of the intrinsic spin of Diracparticles as they propagate along timelike geodesics in Kerr geometry.Reference frames play a crucial role in the definition and measurement of theintrinsic spin of test particles. We show how observers located in the outergeometry of Kerr black holes may exploit the symmetries of the geometry to setup reference frames using purely geometric, locally-available information.Armed with these geometrically-defined reference frames, we obtain aclosed-form expression for the geometrically-induced spin precession of Diracparticles in the outer geometry of Kerr black holes. We show that the spin ofDirac particles does not precess on the equatorial place of Kerr geometry; andhence, in Schwarschild geometry.

Spin Precession of Dirac Particles in Kerr Geometry