Reconstruction of ΛCDM expansion in nonlocal gravity

Abstract

We developed the nonlocal model recently published by Maggiore and Mancarella by introducing a new function [Formula: see text]. This modification allows us to obtain a new analytical solution in the hyperbolic tangent form for the nonlocal distortion function. This model gives rise to an expansion history behaving exactly as [Formula: see text]CDM (Lambda Cold Dark Matter) with the same matter content, but without any need to neither cosmological constant nor dark energy. However, background evolution in our model and [Formula: see text]CDM are the same, but the results may be distinguishable in structure formation investigations or in light of new observations that probably contain additional information more than the background evolution.