Nonlinear electrodynamics and FRW cosmology

TL;DR

This paper explores nonlinear generalizations of Maxwell electrodynamics to avoid singularities in Friedmann-Robertson-Walker cosmological models, providing a mathematical toy model with nonsingular solutions.

Contribution

It introduces a class of nonlinear electromagnetic theories that eliminate singularities in FRW cosmology and presents an analytical nonsingular extension of solutions.

Findings

Nonlinear electrodynamics can remove singularities in FRW models

A specific toy model yields nonsingular cosmological solutions

Analytical extension of solutions demonstrates potential for singularity-free cosmology

Abstract

Maxwell electrodynamics, considered as a source of the classical Einstein field equations, leads to the singular isotropic Friedmann solutions. We show that this singular behavior does not occur for a class of nonlinear generalizations of the electromagnetic theory. A mathematical toy model is proposed for which the analytical nonsingular extension of FRW solutions is obtained.