PUB - Publikationen an der Universität Bielefeld

We study a theory of dilaton gravity in a 5-dimensional brane scenario, witha non-minimal coupling of the dilaton to the matter content of the universelocalized on the brane. The effective gravitational equations at the brane arederived in the Einstein frame in the covariant approach, addressing certainmisconceptions in the literature. We then investigate whether the observedlarge-scale structure of the universe can exist on the brane in this dilatongravity scenario with an exact anti de Sitter bulk, assuming that the matterenergy-momentum tensor has the form of an inhomogeneous perfect fluid. Thecorresponding constraint on the spatial derivative of the matter energy densityis derived, and subsequently quantified using the current limits resulting fromsearches for variation of the Newton's constant. By confronting it with theobservational data from galaxy surveys, we show that up to scales of the orderof 10^4 Mpc, the derived bound on the spatial derivative of the matter energydensity does not allow for the existence of the large-scale structure asobserved today. Thus, such a dilaton gravity brane scenario is ruled out.