Stability analysis of anisotropic universe in nonlinear electrodynamics

摘要

This paper is devoted to analyze the stability of locally rotationally symmetric Bianchi type I model through phase space portrait in the presence of nonlinear electrodynamics. The normalized dimensionless quantities are introduced to construct an autonomous system of equations. The critical points and respective eigenvalues are evaluated for different linear forms of coupling between scalar field models and dark matter to discuss the stability of the cosmos. We conclude that the increase/decrease of stability in the presence of nonlinear electrodynamics completely depends on the choice of interaction terms between matter and dark energy models.