Curvature corrections in DGP brane cosmology

Abstract

We consider a DGP-inspired brane scenario where the action on the brane is augmented bya function of the Ricci scalar, . The cosmological implications that such a scenario entails are examined forRn and shown to be consistent with a universe expanding with power-law acceleration. Itis shown that two classes of solutions exist for the usual FRW metric andsmall Hubble radii. When the Hubble radius becomes larger, we either have atransition to a fully 5D regime or to a self-inflationary solution which producesa late accelerated expansion such that the radius becomes a function ofn.