Confinement of test particles in warped spacetimes

Details Confinement of test particles in warped spacetimes Confinement of test particles in warped spacetimes

2009-04-15

arxiv.org/abs/0904.2321v3

Phys.Rev.D82:024040,2010

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

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

Scientific paper

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.

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