Dynamical System Analysis of a Five-Dimensional Cosmological Model

TL;DR

This paper analyzes a five-dimensional cosmological model using dynamical systems theory, demonstrating conditions under which extra dimensions stabilize and the universe remains flat, providing insights into early universe behavior with extra dimensions.

Contribution

It introduces a dynamical system framework for a five-dimensional cosmological model, identifying critical points and stability conditions relevant to extra dimension stabilization.

Findings

Extra dimensions can stabilize under certain conditions.

The model explains the observed flatness of the universe.

Potential effects of extra dimensions in early universe are examined.

Abstract

A five-dimensional cosmological model including a single perfect fluid is studied in the framework of dynamical system analysis. All the critical points of the system with their stability properties are listed and some representative phase diagrams are explicitly shown. It is found that the stabilization of the extra dimension is possible and the observed flatness of the three-dimensional space is provided for certain ranges of the equation of state parameter of the fluid during the evolution of the universe. The model suggested here can be considered as a simplified model for examining the possible effects of the extra dimensions in the early universe.