Towards a proof of the equivalence between FRW background expansion and statistical isotropy

Abstract

We will expose in this paper our advances towards a proof of the equivalence between FRW background expansion, during some period of time that contains primordial inflation, and the statistical isotropy of the primordial curvature perturbation $ζ$ at the end of this period of time. Our motivation rests on the growing interest in the existence of a preferred direction in the Universe hinted by the continuous presence of anomalies in the CMB data.

LaTeX file, 6 pages, no figures. To be published in the Workshop Series of the Asociacion Argentina de Astronomia as the proceedings of the Second Argentinian-Brazilian Meeting on Gravitation, Astrophysics, and Cosmology (Buenos Aires - Argentina, 22nd-25th April, 2014). v2: LaTeX warning fixed, no changes