Dynamical Study of DBI-essence in Loop Quantum Cosmology and Braneworld

TL;DR

This paper analyzes the dynamics of DBI-essence dark energy in various modified gravity models, exploring stability and attractor solutions that support accelerated cosmic expansion.

Contribution

It constructs and compares dynamical systems for DBI-essence in Loop Quantum Cosmology, DGP, and RS-II brane models, highlighting stability and acceleration features.

Findings

Stable scalar field dominated attractors found in all models.

Physical parameters influence acceleration during the universe's evolution.

Graphical analysis illustrates the role of parameters in cosmic acceleration.

Abstract

We have studied homogeneous isotropic FRW model having dynamical dark energy DBI-essence with scalar field. The existence of cosmological scaling solutions restricts the Lagrangian of the scalar field $\phi$. Choosing $p=X g(X e^{\lambda \phi})$, where $X=-g^{\mu\nu} \partial_\mu \phi \partial_\nu \phi /2$ with $g$ is any function of $X e^{\lambda \phi}$ and defining some suitable transformations, we have constructed the dynamical system in different gravity: (i) Loop Quantum Cosmology (LQC), (ii) DGP BraneWorld and (iii) RS-II Brane World. We have investigated the 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 role of physical parameters have also been shown graphically during accelerating phase of the universe.