Spinning and Spinning Deviation Equations for Special Types of Gauge Theories of Gravity

Abstract

The problem of spinning and spin deviation equations for particles as defined by their microscopic effect has led many authors to revisit non-Riemannian geometry describing torsion and its relation with the spin of elementary particles. We obtain a new method for detecting the existence of torsion by deriving the equations of spin deviations in different classes of non-Riemannian geometries, using a modified Bazˆ anski method. We find that the translational and rotational gauge potentials regulate the spin deviation equation in the framework of the Poincare gauge field theory of gravity.