Eur. Phys. J. Plus (2015) 130: 221
https://doi.org/10.1140/epjp/i2015-15221-3

Regular Article

Complete cosmic scenario in the Randall-Sundrum braneworld from the dynamical systems perspective

¹ Mathematics Division, Department of Basic Sciences and Social Sciences, North Eastern Hill University, NEHU Campus, 793022, Shillong, India
² Department of Mathematics, North Eastern Hill University, NEHU Campus, 793022, Shillong, India

^* e-mail: jdutta29@gmail.com

Received: 2 July 2015
Revised: 23 September 2015
Accepted: 24 September 2015
Published online: 2 November 2015

Abstract

The paper deals with the dynamical system analysis of a coupled scalar field in the Randall-Sundrum (RS)2 brane world. The late-time attractor describes the final state of the cosmic evolution. In the RS2-based phantom model there is no late-time attractor and consequently there is uncertainty in cosmic evolution. In this paper, we have shown that it is possible to get late-time attractor when gravity is coupled to a scalar field. Finally, in order to predict the final evolution of the universe, we have also studied the classical stability of the model. It is found that there are late-time attractors which are both locally and classically stable and so our model can realise the late-time cosmic acceleration.