Path and Path Deviation Equations in Kaluza-Klein Type Theories

TL;DR

This paper derives path and deviation equations for various objects in Kaluza-Klein theories using a modified Bazanski Lagrangian, emphasizing motion in five dimensions and extending to non-symmetric KK theories.

Contribution

It introduces a modified Bazanski approach to derive equations of motion in different Kaluza-Klein models, including charged, spinning, and non-symmetric cases.

Findings

Derived equations for charged, spinning, and spinning charged objects in KK theories.

Extended the approach to non-symmetric KK theory.

Highlighted the importance of five-dimensional motion for these objects.

Abstract

Path and path deviation equations for charged, spinning and spinning charged objects in different versions of Kaluza-Klein (KK) theory using a modified Bazanski Lagrangian have been derived. The significance of motion in five dimensions, especially for a charged spinning object, has been examined. We have also extended the modified Bazanski approach to derive the path and path deviation equations of a test particle in a version of non-symmetric KK theory.