A Dynamical System Analysis of Three Fluid cosmological Model

TL;DR

This paper analyzes a cosmological model with three fluids—dark matter, dark energy, and baryonic matter—using dynamical systems theory to identify stable states and their implications for the universe's evolution.

Contribution

It introduces a dynamical system approach to a three-fluid cosmological model with an exponential scalar field potential, analyzing stability and cosmological implications.

Findings

Identification of critical points in the dynamical system.

Stability analysis of these critical points.

Implications for cosmic evolution and structure formation.

Abstract

In Friedman-Robertson-Walker flat spacetime, we consider a three fluid cosmological model which contains dark matter, dark energy and baryonic matter in the form of perfect fluid with a barotropic equation of state. Dark matter is taken in form of dust and dark energy is described by a scalar field with a potential $V(\phi)$. Einstein's field equations are reduced to an autonomous dynamical system by suitable redefinition of basic variables. Considering exponential potential for the scalar field, critical points are obtained for the autonomous system. Finally stability of the critical points and cosmological implications are analyzed.