Nonlinear electrodynamics in Bianchi spacetimes

TL;DR

This paper investigates how nonlinear electrodynamics, specifically Born-Infeld fields, influence the evolution of Bianchi spacetimes, leading to accelerated expansion and isotropization, with implications for cosmological inflation.

Contribution

It introduces the effects of nonlinear electrodynamics in Bianchi spacetimes and compares them to linear electromagnetic fields, highlighting their role in cosmological acceleration.

Findings

Born-Infeld fields induce acceleration and isotropization in Bianchi spacetimes.

Nonlinear electrodynamics can promote inflation more effectively than linear fields.

Born-Infeld fields violate the strong energy condition.

Abstract

We study the effects produced by nonlinear electrodynamics in spacetimes conformal to Bianchi metrics. In the presence of Born-Infeld type fields these models accelerate, expand and isotropize. This effect is compared with the corresponding to a linear electromagnetic field; it turns out that for the same geometry, Maxwell fields does not favour inflation as much as Born-Infeld field. The behavior of the nonlinear radiation is analyzed in terms of the equation of state. The energy conditions are analyzed as well, showing that the Born-Infeld field violates the strong energy condition.