Spin precession in a gravitational field

The author calculates spin precession rates in a gravitational field in a Lorentz frame that the authors constructed via a rotationless Lorentz transformation from the laboratory frame. In deriving this transformation, the authors obtained an exact expression for the rate of precession in both the Schwarzschild and Reissner-Nordstroem metrics. Along the way, a transformation is derived which reduces the latter to isotropic form. Furthermore, the technique has been applied to an arbitrarily weak gravitational field. The expression for the rate of precession in the limiting cases of low velocity and the post-Newtonian approximation is in agreement with previous results. As the speed of a particle tends to unity, the expression for the rate of precession has a finite limit, a part of which describes the rotation of the plane of polarization of a photon