On asymptotic behavior of anisotropic branes withinduced gravity inspired by ℒ(R) term

Abstract

The DGP brane-world scenario provides the accelerated expansion of the universe at late-time by large-distance modification of general relativity without any need for dark energy. Using the method in reference [33], we investigate the asymptotic behavior of homogeneous and anisotropic cosmologies on a generalization of DGP scenario where the effective theory of gravity induced on the brane is given by a ℒ(R) term. We show that for a constant induced curvature term on the brane all Bianchi models except type IX isotropize, like general relativity, if the effective energy density and ℰab term satisfy some energy conditions. Finally, we compare the result of the model with the result of anisotropic DGP branes and general relativity.