Modified absolute parallelism geometry: The spinning motion problem

Abstract

In this paper, equations for spinning and spinning deviation objects in the context of a modified absolute parallelism geometry, within the framework of metric affine theories of gravity, are derived. Such equations are obtained using a parameter transformation method, an approach that enables the derivation of spinning equations in terms of geodesic and geodesic deviation equations for various geometries. The importance of using a modified absolute parallelism is to adopt this type of geometry to determine the equations of motion for different objects in theories of gravity admitting gauge invariance. This enables us to examine the microscopic properties of these objects.