Confinement of test particles in warped spacetimes

Abstract

We investigate test particle trajectories in warped spacetimes with a thick brane warp factor, a cosmological on--brane line element and a time dependent extra dimension. The geodesic equations are reduced to a first order autonomous dynamical system. Using analytical methods, we arrive at some useful general conclusions regarding possible trajectories. Oscillatory motion, suggesting confinement about the location of the thick brane, arises for a growing warp factor. On the other hand, we find runaway trajectories (exponential-like) for a decaying warp factor. Variations of the extra dimensional scale factor yield certain quantitative differences. Results obtained from explicit numerical evaluations match well with the qualitative conclusions obtained from the dynamical systems analysis.

20 pages, 9 figures, title changed, contents added, presentation improved, results are largely unchanged

References in corpus (5)

• Radion Phenomenology in Realistic Warped Space Models
• Warped product spaces and geodesic motion in the neighbourhood of hypersurfaces
• Bulk spacetimes for cosmological braneworlds with a time--dependent extra dimension
• Brane Cosmology and Motion of Test Particles in Five-Dimensional Warped Product Spacetimes
• Generalized particle dynamics: modifying the motion of particles and branes

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• Metamaterial branes
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