Cosmology of the Randall-Sundrum model after dilaton stabilization

We provide the first complete analysis of cosmological evolution in the Ran dall-Sundrum model with stabilized dilaton. We give the exact expansion law for matter densities on the two branes with arbitrary equations of state. The effective four-dimensional theory leads to standard cosmology at low en ergy. The limit of validity of the low energy theory and possible deviation s from the ordinary expansion law in the high energy regime are finally dis cussed. (C) 2000 Elsevier Science B.V. All rights reserved.