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

## TL;DR

This paper derives new spin deviation equations in non-Riemannian geometries using a modified Bazanski method, highlighting the role of gauge potentials in Poincare gauge gravity to detect torsion effects.

## Contribution

It introduces a novel method to derive spin deviation equations in non-Riemannian geometries, linking gauge potentials with torsion detection in gravity theories.

## Key findings

- Translational and rotational gauge potentials influence spin deviation equations.
- Derived equations can serve as tools to detect torsion in gravity.
- The method applies to various classes of non-Riemannian geometries.

## 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 for being described torsion and its relation with the spin of elementary particles. We obtain a new method to detect the existence of torsion by deriving the equations of spin deviations in different classes of non-Riemannian geometries, using a modified Bazanski method. We find that translational gauge potentials and rotational gauge potentials regulate the spin deviation equation in the presence of Poincare gauge field theory of gravity.