Sp-branes: integrable multidimensional cosmologies

Abstract

We investigate time-dependent solutions (Sp-brane solutions) for product manifolds consisting of factor spaces where only one of them is of a non-Ricci-flat type. Our model contains a minimally coupled free scalar field and form field (flux) as matter sources.We discuss the possibility of generating late-time acceleration of the Universe. For these models, we investigate the variation with time of the effective four-dimensional fundamental ‘constants’. We show that experimental bounds for the fundamental constant variations apply strong restrictions to the considered models.