# Dynamics of test particles and pointlike gyroscopes in the brane world and other 5D models

@article{Seahra2002DynamicsOT, title={Dynamics of test particles and pointlike gyroscopes in the brane world and other 5D models}, author={Sanjeev S Seahra}, journal={Physical Review D}, year={2002}, volume={65}, pages={124004} }

We study the dynamics of test particles and pointlike gyroscopes in 5D manifolds such as those used in the Randall-Sundrum brane world and noncompact Kaluza-Klein models. Our analysis is based on a covariant foliation of the manifold using $(3+1)$-dimensional spacetime slices orthogonal to the extra dimension, and is hence similar to the Arnowitt-Deser-Misner $3+1$ split in ordinary general relativity. We derive gauge invariant equations of motion for freely falling test particles in the 5D and…

## 21 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…

### The Principle of least action for test particles in a four-dimensional spacetime embedded in 5D

- Mathematics, Physics
- 2008

It is well known that, in the five-dimensional scenario of braneworld and space–time-mass theories, geodesic motion in 5D is observed to be non-geodesic in 4D. Usually, the discussion is purely…

### Mass and Charge in Brane-World and Non-Compact Kaluza-Klein Theories in 5 Dim

- Physics
- 2002

In classical Kaluza-Klein theory, with compactified extra dimensions and without scalar field, the rest mass as well as the electric charge of test particles are constants of motion. We show that in…

### Proper time and conformal problem in Kaluza-Klein theory

- Physics, Mathematics
- 2015

In the traditional Kaluza-Klein theory, the cylinder condition and the constancy of the extra-dimensional radius (scalar field) imply that timelike geodesics on the 5-dimensional bundle project to…

### Extra force from an extra dimension. Comparison between brane theory, STM and other approaches

- Physics
- 2003

We investigate the question of how an observer in 4D perceives the five-dimensional geodesic motion. We consider the interpretation of null and non-null bulk geodesics in the context of brane theory,…

### Classical and quantum dynamics of confined test particles in brane gravity

- Physics
- 2005

A model is constructed for the confinement of test particles moving on a brane. Within the classical framework of this theory, confining a test particle to the brane eliminates the effects of extra…

### Physics in higher-dimensional manifolds

- Mathematics
- 2003

In this thesis, we study various aspects of physics in higher-dimensional manifolds involving a single extra dimension. After giving some historical perspective on the motivation for studying…

### Application of the Campbell-Magaard theorem to higher dimensional physics

- Physics
- 2003

Stated succinctly, the original version of the Campbell–Magaard theorem says that it is always possible to locally embed any solution of four-dimensional general relativity in a five-dimensional…

### 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.…

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