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

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.