Stability of Accelerated Expansion in Nonlinear Electrodynamics

Abstract

This paper is devoted to study the phase space analysis of isotropic and homogenous universe model by taking a noninteracting mixture of electromagnetic and viscous radiating fluids whose viscous pressure satisfies a nonlinear version of the Israel-Stewart transport equation. We establish an autonomous system of equations by introducing normalized dimensionless variables. In order to analyze stability of the system, we find corresponding critical points for different values of the parameters. We also evaluate power-law scale factor whose behavior indicates different phases of the universe model. It is concluded that bulk viscosity as well as electromagnetic field enhances the stability of accelerated expansion of the isotropic and homogeneous universe model.

arXiv comment17 pages, 5 figures, accepted for publication in EPJC

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• Falsifying cosmological models based on a non-linear electrodynamics
• Inflation from a nonlinear magnetic monopole field nonminimally coupled to curvature
• Inflation Driven by Non-Linear Electrodynamics
• Cosmology with variable $G$ and nonlinear electrodynamics
• On the emergence of the $\mathbf{\Lambda }$CDM model from self-interacting Brans-Dicke theory in $\mathbf{d}=5$
• Phase Space Analysis for Anisotropic Universe with Nonlinear Bulk Viscosity
• Exploring the Evolution of Nonlinear Electrodynamics in the Universe: A Dynamical Systems Approach