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.
Highlights
Modified gravity [1] suggests serious alternative for dark energy origin
The number of metric formulation modified F (R) gravities has been proposed [1, 2, 3, 4, 5] with the purpose to explain the origin of cosmic acceleration
Special attention is paid to F (R) models [6, 7, 8, 9] with the effective cosmological constant phase because such theories may reproduce the well-known ΛCDM cosmology
Summary
Modified gravity [1] suggests serious alternative for dark energy origin. it may be naturally expected that gravitational action contains some extra terms which became relevant recently with the significant decrease of the universe curvature. Special attention is paid to F (R) models [6, 7, 8, 9] with the effective cosmological constant phase because such theories may reproduce the well-known ΛCDM cosmology Such models subclass which does not violate Solar System tests represents the real alternative for standard General Relativity. From another point, it is expected that due to string/M-theory corrections the early-time universe may be governed by modified gravity which initiates the inflationary epoch. Several explicit examples are considered where it is shown that such non-local gravity may lead to the unification of the early-time inflation with late-time acceleration being consistent with the known universe expansion history and local tests. It is shown that it is natural to unify the early-time inflation with late-time acceleration in modified gravity with two different types of terms: first being relevant at the early universe and second being relevant at late universe
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