  Gravitoelectromagnetic inflation was recently introduced to describe, in an
unified manner, electromagnetic, gravitatory and inflaton fields in the early
(accelerated) inflationary universe from a 5D vacuum state. In this paper, we
study a stochastic treatment for the gravitoelectromagnetic components
$A_B=(A_{\mu},\phi)$, on cosmological scales. We focus our study on the seed
magnetic fields on super Hubble scales, which could play an important role in
large scale structure formation of the universe.
