Pinaki Bhattacharya, Sarbari Guha
In this paper we have considered a five-dimensional warped product spacetime
with spacelike extra dimension. We have decomposed the geodesic equations to
get the motion along the extra dimension and have studied the dynamical system
associated with it. The relation between the total energy along the phase path
and the extra-dimensional coordinate have been established for different types
of warping function and the nature of confinement of particle trajectories in
these cases have been analyzed. We have also calculated the energy associated
with the phase path under a linear coordinate perturbation independent of the
affine parameter and have analyzed the nature of confinement and the geodesic
motions in such a case. Finally, the stability of the dynamical system under a
perturbation due to an extra-dimension dependent additional force have been
examined.
View original:
http://arxiv.org/abs/1202.2328
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