Cosmological solutions in modified gravity with monomial nonlocality

Ivan Dimitrijevic

doi:10.1016/j.amc.2016.03.030

paper

Cosmological solutions in modified gravity with monomial nonlocality

arXiv:1604.06824 · doi:10.1016/j.amc.2016.03.030

Abstract

We consider cosmological properties of modified gravity with nonlocal term $R^{p} F (□) R^{q}$ 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 $a (t) = C e^{- \frac{γ}{12} t^{2}}$ are found.