Dynamics of FRW Universes Sourced by Non-Linear Electrodynamics

TL;DR

This paper uses dynamical systems analysis to study Friedmann-Robertson-Walker universes influenced by non-linear electrodynamics, revealing that such effects are not as prevalent as previously thought, especially regarding critical points.

Contribution

It provides a detailed dynamical systems analysis of FRW universes with non-linear electrodynamics, challenging prior assumptions about their generic cosmological effects.

Findings

Critical points associated with non-linear electrodynamics are absent in the phase space.

Non-linear electrodynamics effects are less generic than previously claimed.

Models can unify non-singular cosmology with late-time acceleration without critical points.

Abstract

We apply the dynamical systems tools to study the (linear) dynamics of Friedmann-Robertson-Walker universes that are fuelled by non-linear electrodynamics. We focus, mainly, in two particular models. In the first model the cosmic evolution is fuelled by cold dark matter, a cosmological constant and a non-linear electrodynamics field. In the second case non-singular cosmology and late-time accelerated expansion are unified in a model where the Einstein's field equations are sourced only by cold dark matter and a non-linear electrodynamics field. It is shown that, in contrast to previous claims, the cosmological effects coming from the non-linear electrodynamics field are not as generic as though. In fact, critical points in the phase space that could be associated with non-linear electrodynamic effects are not found.