Cosmological Solutions in Nonlocal Models

TL;DR

This paper explores non-local modified gravity models with analytic functions of the d'Alembert operator, showing their connection to $f(R)$ gravity and potential to resolve cosmological singularities.

Contribution

It demonstrates a link between non-local gravity models and $f(R)$ theories, offering new insights into resolving cosmological singularities.

Findings

Connection established between non-local models and $f(R)$ gravity.

Potential to address singularity problems in cosmology.

Analytic functions of the d'Alembert operator are key to the model.

Abstract

A non-local modified gravity model with an analytic function of the d'Alembert operator that has been proposed as a possible way of resolving the singularities problems in cosmology is considered. We show that the anzats that is usually used to obtain exact solutions in this model provides a connection with $f(R)$ gravity models.