The motion of a charged particle in Kalusa-Klein manifolds

TL;DR

This paper uses Jacobi fields to analyze the motion of a charged particle within classical gravitational, electromagnetic, and Yang-Mills fields on Kalusa-Klein manifolds.

Contribution

It introduces a novel approach employing Jacobi fields to study particle dynamics in complex gauge and gravitational backgrounds on Kalusa-Klein manifolds.

Findings

Describes particle trajectories using Jacobi fields.

Provides insights into gauge and gravitational interactions.

Enhances understanding of particle motion in higher-dimensional manifolds.

Abstract

In this paper we use Jacobi fields to describe the motion of a charged particle in the classical gravitational, electromagnetic, and Yang-Mills fields.