Multipole moments in Kaluza-Klein theories

TL;DR

This paper investigates the motion of extended bodies in multidimensional Kaluza-Klein space-times using multipole moments, deriving deviations from geodesic motion and applying results to specific space-time configurations.

Contribution

It introduces a method to analyze the dynamics of extended bodies in Kaluza-Klein theories using multipole moments, extending previous point-particle approaches.

Findings

Deviation from geodesic motion derived for extended bodies

Application to specific space-time models demonstrated

Framework for analyzing non-point test bodies established

Abstract

This paper contains discussion of the problem of motion of extended i.e. non point test bodies in multidimensional space. Extended bodies are described in terms of so called multipole moments. Using approximated form of equations of motion for extended bodies deviation from geodesic motion is derived. Results are applied to special form of space-time.