Phantom-like effects in an asymmetric brane embedding with induced gravity and the Gauss–Bonnet term in the bulk

Abstract

We construct an asymmetric braneworld embedding with induced gravity on the brane, where stringy effects are taken into account by the incorporation of the Gauss–Bonnet (GB) term into the bulk action. We derive the effective Friedmann equation of the brane and then investigate possible realization of the phantom-like behavior in this setup. We show that in the absence of the GB term in the bulk action (a pure induced gravity scenario), the phantom-like behavior in the asymmetric case can be realized in smaller redshifts than the corresponding symmetric case. We also show that in the general case with the curvature effect, the phantom-like behavior can be realized in two subcases: in the symmetric subcase and in an asymmetric branch of the solutions. In either case, this phantom-like behavior happens without introducing any phantom fields either on the brane or in the bulk.