Modified non-local-F(R) gravity as the key for the inflation and dark energy

TL;DR

This paper explores a non-local modified gravity model that unifies early inflation and late-time cosmic acceleration, potentially explaining dark energy and cosmic history within a consistent theoretical framework.

Contribution

It develops a local scalar-tensor formulation of non-local F(R) gravity and demonstrates its capability to unify inflation with dark energy and match observational universe history.

Findings

The theory can produce inflation and late-time acceleration.

It can generate quintessence or phantom dark energy.

It remains consistent with Solar System tests.

Abstract

We consider FRW cosmology in non-local modified gravity. Its local scalar-tensor formulation is developed. It is explicitly demonstrated that such theory may lead to the unification of early-time inflation with late-time cosmic acceleration. The quintessence or phantom era may emerge for specific form of the action. The coupled non-local-F(R) gravity is also investigated. It is shown that such theory being consistent with Solar System tests may lead to the known universe history sequence: inflation, radiation/matter dominance and dark epoch.