Dirac Spin Precession in Kerr Spacetime by the parallelism description

TL;DR

This paper explores how Dirac particle spin precession behaves in Kerr spacetime within the framework of parallelism general relativity, focusing on torsion axial-vector coupling and its dependence on tetrad choice.

Contribution

It provides a detailed analysis of torsion axial-vector spin coupling in Kerr spacetime using PGR and examines the influence of tetrad choice on physical interpretation.

Findings

Torsion axial-vector exhibits dipole-like structure in weak field and slow rotation approximation.

The structure differs from gravitomagnetic field, affecting spin precession interpretation.

Tetrad choice impacts the physics interpretation of axial-vector spin coupling.

Abstract

In the framework of parallelism general relativity (PGR), the Dirac particle spin precession in the rotational gravitational field is studied. In terms of the equivalent tetrad of Kerr frame, we investigate the torsion axial-vector spin coupling in PGR. In the case of the weak field and slow rotation approximation, we obtain that the torsion axial-vector has the dipole-like structure, but different from the gravitomagnetic field, which indicates that the choice of the Kerr tetrad will influence on the physics interpretation of the axial-vector spin coupling.