Baukh, V.Zhuk, AlexanderMadrid : Consejo Superior de Investigaciones Científicas, Instituto Miguel Asín,2010-08-262010-08-262007Astronomical & Astrophysical Transactions. The Journal of the Eurasian Astronomical Society1055-6796 print1476-3540 onlinehttps://dspace.onu.edu.ua/handle/123456789/82We 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.enMultidimensional cosmologyAccelerationVariation in fundamental constantsArticle