Eur. Phys. J. C (2012) 72: 2087
https://doi.org/10.1140/epjc/s10052-012-2087-x

Regular Article - Theoretical Physics

Dynamical study of DBI-essence in loop quantum cosmology and brane world

Department of Mathematics, Bengal Engineering and Science University, Shibpur, Howrah, 711103, India

^* e-mail: ujjaldebnath@yahoo.com
^** e-mail: ujjal@iucaa.ernet.in

Received: 4 January 2012
Revised: 8 June 2012
Published online: 2 August 2012

Abstract

We have studied homogeneous isotropic FRW model having dynamical dark energy DBI-essence with scalar field. Existence of cosmological scaling solutions restricts the Lagrangian of the scalar field ϕ. Choosing p=Xg(Xe ^λϕ ), where X=−g ^μν ∂ _μ ϕ∂ _ν ϕ/2 with g any function of Xe ^λϕ and defining some suitable transformations, we have constructed the dynamical system in different models of gravity: (i) Loop Quantum Cosmology (LQC), (ii) DGP brane world and (iii) RS II brane world. We have investigated stability of this dynamical system around the critical point for three gravity models and investigated the scalar-field dominated attractor solution in support of accelerated universe. The roles of the physical parameters have also been shown graphically during the accelerating phase of the universe.