Cosmological solutions in modified gravity with monomial nonlocality

TL;DR

This paper explores cosmological solutions in a modified gravity theory featuring a nonlocal term involving powers of the Ricci scalar and a nonlocal operator, deriving specific solutions for flat FLRW metrics.

Contribution

It introduces and analyzes cosmological solutions in a novel class of modified gravity models with monomial nonlocal terms in the action.

Findings

Found exact cosmological solutions of the form a(t)= C e^{- rac eta{12}t^2} for specific p and q values.

Derived equations of motion for the nonlocal gravity model.

Identified conditions under which these solutions are valid.

Abstract

We consider cosmological properties of modified gravity with nonlocal term $ R^p\mathcal{F}(\Box)R^q$ in its Lagrangian. Equations of motion are presented. For the flat FLRW metric, and some particular values of natural numbers $p$ and $q$ cosmological solutions of the form $a(t)= C e^{- \frac \gamma{12}t^2}$ are found.