# Stability of Accelerated Expansion in Nonlinear Electrodynamics

## TL;DR

This study analyzes the stability of accelerated cosmic expansion using a nonlinear electrodynamics framework combined with viscous fluids, revealing that viscosity and electromagnetic fields promote stable accelerated expansion phases.

## Contribution

It introduces a phase space analysis of a universe model with nonlinear electrodynamics and viscous fluids, highlighting the stabilizing effects of viscosity and electromagnetic fields.

## Key findings

- Bulk viscosity and electromagnetic fields enhance stability of accelerated expansion.
- Critical points indicate different universe phases depending on parameters.
- Power-law scale factor analysis shows various expansion behaviors.

## 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.