Cosmological Solutions of a Nonlocal Model with a Perfect Fluid

Abstract

A nonlocal gravity model which does not assume the existence of a new dimensional parameter in the action and includes a function $f({\square }^{-1}R)$, with $\square$ the d'Alembertian operator, is studied. By specifying an exponential form for the function f and including a matter sector with a constant equation of state parameter, all available power-law solutions in the Jordan frame are obtained. New power-law solutions in the Einstein frame are also probed. Furthermore, the relationship between power-law solutions in both frames, established through conformal transformation, is substantially clarified. The correspondence between power-law solutions in these two frames is proven to be a very useful tool in order to obtain new solutions in the Einstein frame.

35 pages, uses jcappub.sty, v2: Sections 3.6 and 4 added, references added, accepted for publication in JCAP

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