# Equations of Motion in Kaluza-Klein Gravity Revisited

@article{Leon2001EquationsOM, title={Equations of Motion in Kaluza-Klein Gravity Revisited}, author={Jaime Ponce de Leon}, journal={Gravitation \& Cosmology}, year={2001}, volume={8}, pages={272-284} }

We discuss the equations of motion of test particles for a version of Kaluza-Klein theory where the cylinder condition is not imposed. The metric tensor of the five-dimensional manifold is allowed to depend on the fifth coordinate. This is the usual working scenario in brane-world, induced-matter theory and other Kaluza-Klein theories with large extra dimensions. We present a new version for the fully covariant splitting of the 5D equations. We show how to change the usual definition of various…

## 12 Citations

### Invariant Definition of Rest Mass and Dynamics of Particles in 4D from Bulk Geodesics in Brane-World and Non-Compact Kaluza Klein Theories

- Physics
- 2003

In the Randall–Sundrum brane-world scenario and other non-compact Kaluza–Klein theories, the motion of test particles is higher-dimensional in nature. In other words, all test particles travel on…

### Wesson’s Induced Matter Theory with a Weylian Bulk

- Physics
- 2005

The foundations of Wesson’s induced matter theory are analyzed. It is shown that the empty—without matter—5-dimensional bulk must be regarded as a Weylian space rather than as a Riemannian one.…

### EQUATIONS OF MOTION FOR SPACE-TIME-MATTER THEORY

- Physics
- 2013

The purpose of this paper is to present, in a covariant form and in their full generality, the equations of motion for space-time-matter (STM) theory. The whole study is based on the new approach of…

### On the extra force in brane world scenario

- Physics
- 2014

In the study of the dynamics in a 5D bulk from brane world scenario, an extra force with abnormal properties was detected (cf. [D. Youm, Extra force in brane worlds, Phys. Rev. D62 (2000) 084002; D.…

### Path and Path Deviation Equations in Kaluza-Klein Type Theories: A Brief Introduction

- Physics
- 2007

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…

### On spinless null propagation in five-dimensional space-times with approximate space-like Killing symmetry

- Physics
- 2015

Five-dimensional (5D) space-time symmetry greatly facilitates how a 4D observer perceives the propagation of a single spinless particle in a 5D space-time. In particular, if the 5D geometry is…

### Generalised Proper Time as a Unifying Basis for Models with Two Right-Handed Neutrinos

- Physics
- 2019

Models with two right-handed neutrinos are able to accommodate solar and atmospheric neutrino oscillation observations as well as a mechanism for the baryon asymmetry of the universe. While…

### Dark matter and cosmic acceleration from Wesson’s IMT

- Physics
- 2009

In the present work a procedure is build up, that allows obtaining dark matter (DM) and cosmic acceleration in our 4D universe embedded in a 5D manifold. Both, DM and the factor causing cosmic…

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