Particle confinement and Perturbed Dynamical System in Warped Product Spacetime

Details Particle confinement and Perturbed Dynamical System in Warped Product Spacetime Particle confinement and Perturbed Dynamical System in Warped Product Spacetime

2012-02-10

arxiv.org/abs/1202.2328v2

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

The paper is withdrawn for rectfication of the text

Scientific paper

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.

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