# Classical confinement of test particles in higher-dimensional models: stability criteria and a new energy condition

@article{Seahra2003ClassicalCO, title={Classical confinement of test particles in higher-dimensional models: stability criteria and a new energy condition}, author={Sanjeev S Seahra}, journal={Physical Review D}, year={2003}, volume={68}, pages={104027} }

We review the circumstances under which test particles can be localized around a spacetime section ${\ensuremath{\Sigma}}_{0}$ smoothly contained within a codimension-1 embedding space M. If such a confinement is possible, ${\ensuremath{\Sigma}}_{0}$ is said to be totally geodesic. Using three different methods, we derive a stability condition for trapped test particles in terms of intrinsic geometrical quantities on ${\ensuremath{\Sigma}}_{0}$ and M; namely, confined paths are stable against…

## 39 Citations

### Brane cosmology and motion of test particles in five-dimensional warped product spacetimes

- Physics
- 2008

In the “braneworld scenario” ordinary standard model matter and non-gravitational fields are confined by some trapping mechanism to the 4-dimensional universe constituting the D3-branes which are…

### Classical tests of General Relativity in thick branes

- Physics
- 2015

Classical tests of General Relativity in braneworld scenarios have been investigated recently with the purpose of posing observational constraints on the parameters of some models of infinitely thin…

### USING (4+1) SPLIT AND ENERGY CONDITIONS TO STUDY THE INDUCED MATTER IN 5D RICCI-FLAT COSMOLOGY

- Physics
- 2007

We use (4+1) split to derive the 4D induced energy density ρ and pressure p of the 5D Ricci-flat cosmological solutions which are characterized by having a bounce instead of a bang. The solutions…

### THE EMBEDDING OF THE SPACETIME IN HIGHER-DIMENSIONAL RIEMANN–CARTAN MANIFOLDS AND CLASSICAL CONFINEMENT OF TEST PARTICLES

- Mathematics
- 2011

We revisit the Riemann–Cartan geometry in the context of recent higher-dimensional theories of spacetime. After introducing the concept of torsion in a modern geometrical language we present some…

### Creation of fundamental particles in Wesson’s IMT

- Physics
- 2008

Fundamental particles, regarded as possible constituents of quarks and leptons, are described classically in the framework of the Weyl-Dirac version of Wesson’s Induced Matter Theory (IMT). There are…

### Fermion confinement induced by geometry

- Physics
- 2011

We consider a five-dimensional model in which fermions are confined in a hypersurface due to an interaction with a purely geometric field. Inspired by the Rubakov-Shaposhnikov field-theoretical…

### Warped product spaces and geodesic motion in the neighborhood of branes

- Physics
- 2007

We study the classical geodesic motions of nonzero rest mass test particles and photons in five-dimensional warped product spaces. We show that it is possible to obtain a general picture of these…

### 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…

### The real solution to scalar field equation in 5D black string space

- Physics
- 2007

After the nontrivial quantum parameters Ωn and quantum potentials Vn obtained in our previous research, the circumstance of a real scalar wave in the bulk is studied with the similar method of Brevik…