Cosmological solutions in modified gravity with monomial nonlocality

preprint2016arXivOpen access

Abstract

We consider cosmological properties of modified gravity with nonlocal term RpF(□)Rq 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 pp and qq cosmological solutions of the form a(t)=Ce−γ12t2a(t)= C e^{- \frac γ{12}t^2} are found.

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