# Massive test particles motion in Kaluza-Klein gravity

## TL;DR

This paper investigates the motion of massive test particles in Kaluza-Klein gravity, analyzing geodesics and effective potentials to understand orbital dynamics and deviations from Schwarzschild solutions.

## Contribution

It provides a detailed analysis of geodesic motion in static, vacuum Kaluza-Klein solutions with spherical symmetry, highlighting differences from classical Schwarzschild orbits.

## Key findings

- Modified stable circular orbits compared to Schwarzschild
- Effective potential analysis reveals unique particle dynamics
- Properties of four-dimensional counterparts in Kaluza-Klein spacetime

## Abstract

A class of static, vacuum solutions of (free-electromagnetic) Kaluza-Klein equations with three-dimensional spherical symmetry is studied. In order to explore the dynamic in such spacetimes, geodesic equations are obtained and the effective potential for massive test particles is analysed. Particular attention is devoted to the properties of the four dimensional counterpart of these solutions in their Schwarzschild limit. A modification of the circular stable orbits compared with the Schwarzschild case is investigated.