Rotation Intrinsic Spin Coupling: The Parallelism Description

Abstract

For the Dirac particle in the rotational system, the rotation induced inertia effect is analogously treated as the modification of the "spin connection" on the Dirac equation in the flat spacetime, which is determined by the equivalent tetrad. From the point of view of parallelism description of spacetime, the obtained torsion axial-vector is just the rotational angular velocity, which is included in the "spin connection". Furthermore the axial-vector spin coupling induced spin precession is just the rotation-spin(1/2) interaction predicted by Mashhoon. Our derivation treatment is straightforward and simplified in the geometrical meaning and physical conception, however the obtained conclusions are consistent with that of the other previous work.

Stationary axisymmetric solutions and their energy contents in teleparallel equivalent of Einstein theory

“…Applying the tetrad field of Eq. (20) to the field equations (7) we get the non-vanishing components to have the form…”

Letter: Some Remarks on the Coupling Prescription of Teleparallel Gravity

“…This is the force equation of teleparallel gravity [9]. Of course, it is equivalent to the geodesic equation (16) in the sense that both describe the same physical trajectory. Now, the above procedure can be employed to obtain a coupling prescription for gravitation.…”

A non-diagonal singularity-free model in torsion gravity

“…ε is the antisymmetric Levi-Civita tensor (ε 0123 = 1) [16]. Consequently, the spin connection contributes the following relation [17]:…”