Induced non-local cosmology

TL;DR

This paper explores a novel non-local gravity model inspired by Sakharov's induced gravity, featuring oscillatory behavior that could address late-time cosmological divergences and tensions in Hubble constant and structure growth.

Contribution

It introduces a new non-local gravitational action with a $eta$ term, leading to oscillatory cosmological behavior and potential solutions to current cosmological tensions.

Findings

Oscillatory behavior in the Hubble parameter avoids late-time divergences.

Effective gravitational coupling exhibits alternating strong and weak gravity epochs.

Potential implications for resolving $H_0$ and $\sigma_8$ tensions.

Abstract

We investigate the cosmological implications of an effective gravitational action, inspired by Sakharov's idea of induced gravity, containing non-local contributions from the operator $\left(\Box +\beta \right)^{-1} R$. The $\beta$ term is a novel feature in the panorama of non-local models of gravity, and arises naturally within Sakharov theory from the potential of a non-minimally coupled scalar field after a spontaneous symmetry breaking takes place. In this class of models the non-local contribution can acquire an oscillatory behaviour, thereby avoiding the divergence of the Hubble parameter at late times, which is another characteristic feature of the non-local models treated in the literature. Furthermore, the effective gravitational coupling $G_{\rm eff}$ inherits the oscillatory behaviour, resulting in alternating epochs of stronger and weaker gravity. This framework is argued to have potentially interesting implications for the $H_0$ and the $\sigma_8$ tensions.