Primordial large-scale electromagnetic fields from Gravitoelectromagnetic Inflation

TL;DR

This paper explores the origin and evolution of primordial electromagnetic fields during inflation driven by a cosmological constant, using a gravitoelectromagnetic formalism that naturally breaks conformal invariance.

Contribution

It introduces a gravitoelectromagnetic inflationary formalism with $A_0=0$ that naturally accounts for non-conformal invariance in primordial field generation.

Findings

Derived power spectra for large-scale magnetic fields.

Analyzed inflaton field fluctuations during inflation.

Demonstrated the formalism's natural non-conformal invariance.

Abstract

We investigate the origin and evolution of primordial electric and magnetic fields in the early universe, when the expansion is governed by a cosmological constant $\Lambda_0$. Using the gravitoelectromagnetic inflationary formalism with $A_0=0$, we obtain the power of spectrums for large-scale magnetic fields and the inflaton field fluctuations during inflation. A very important fact is that our formalism is {\em naturally non-conformally invariant}.