Born-Infeld Cosmologies

TL;DR

This paper proposes a cosmological model of the early universe incorporating a nonlinear Born-Infeld electromagnetic field, which potentially avoids initial singularities and modifies curvature invariants compared to linear Maxwell fields.

Contribution

It introduces an inhomogeneous, anisotropic early universe model with a Born-Infeld field, showing how nonlinear electromagnetism affects curvature and initial conditions.

Findings

Curvature invariants remain well-behaved at t=0.

Born-Infeld field modifies curvature invariants compared to Maxwell.

Model suggests possible avoidance of initial big bang singularity.

Abstract

We present a model for an inhomogeneous and anisotropic early universe filled with a nonlinear electromagnetic field of Born-Infeld (BI) type. The effects of the BI field are compared with the linear case (Maxwell). Since the curvature invaria nts are well behaved then we conjecture that our model does not present an initial big bang singularity. The existence of the BI field modifies the curvature invariants at t=0 as well as sets bounds on the amplitude of the conformal metric function