Dynamical system analysis for DBI dark energy interacting with dark matter

TL;DR

This paper performs a dynamical system analysis of a DBI dark energy model interacting with dark matter in a flat FRW universe, identifying critical points and discussing cosmological implications.

Contribution

It introduces a dynamical system approach to analyze interacting DBI dark energy with dark matter, considering an exponential potential and examining stability and cosmological scenarios.

Findings

Critical points identified and classified.

Cosmological scenarios discussed based on stability.

Interaction influences the evolution of dark energy and dark matter.

Abstract

A dynamical system analysis related to Dirac Born Infeld (DBI) cosmological model has been investigated in this present work. For spatially flat FRW space time, the Einstein field equation for DBI scenario has been used to study the dynamics of DBI dark energy interacting with dark matter. The DBI dark energy model is considered as a scalar field with a nonstandard kinetic energy term. An interaction between the DBI dark energy and dark matter is considered through a phenomenological interaction between DBI scalar field and the dark matter fluid. The field equations are reduced to an autonomous dynamical system by a suitable redefinition of the basic variables. The potential of the DBI scalar field is assumed to be exponential. Finally, critical points are determined, their nature have been analyzed and corresponding cosmological scenario has been discussed.