NDLI: Particle Motion and Perturbed Dynamical System in Warped Product Spacetimes

Content Provider	Springer Nature Link
Author	Bhattacharya, Pinaki Guha, Sarbari
Copyright Year	2016
Abstract	In this paper we have used the dynamical systems analysis to study the dynamics of a five-dimensional universe in the form of a warped product spacetime with a spacelike dynamic extra dimension. We have decomposed the geodesic equations to get the motion along the extra dimension and have studied the associated dynamical system when the cross-diagonal element of the Einstein tensor vanishes, and also when it is non-vanishing. Introducing the concept of an energy function along the phase path in terms of the extra-dimensional coordinate, we have examined how the energy function depends on the warp factor. The energy function serves as a measure of the amount of perturbation of geodesic paths along the extra dimension in the region close to the brane. Then we studied the geodesic motion under a conventional metric perturbation in the form of homothetic motion and conformal motion and examined the nature of critical points for a Mashhoon-Wesson-type metric, for timelike and null geodesics when the cross-diagonal term of the Einstein tensor vanishes. Finally we investigated the motion for null and timelike geodesics under the condition when the cross-diagonal element of the Einstein tensor is non-vanishing and examined the effects of perturbation on the critical points of the dynamical system.
Starting Page	3375
Ending Page	3392
Page Count	18
File Format	PDF
ISSN	00207748
Journal	International Journal of Theoretical Physics
Volume Number	55
Issue Number	7
e-ISSN	15729575
Language	English
Publisher	Springer US
Publisher Date	2016-03-05
Publisher Place	New York
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Geodesic motion Metric perturbation Dynamical system Critical points Physics Quantum Physics Elementary Particles, Quantum Field Theory Theoretical, Mathematical and Computational Physics
Content Type	Text
Resource Type	Article
Subject	Physics and Astronomy Mathematics

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