5-dimensional warped cosmological solutions with radius stabilization by abulk scalar

We present the 5-dimensional cosmological solutions in the Randall-Sundrum warped compactification scenario, using the Goldberger-Wise mechanism to st abilize the size of the extra dimension. Matter on the Planck and TeV brane s is treated perturbatively, to first order. The back-reaction of the scala r field on the metric is taken into account. We identify the appropriate ga uge-invariant degrees of freedom, and show that the perturbations in the bu lk scalar can be gauged away. We confirm previous, less exact computations of the shift in the radius of the extra dimension induced by matter. We poi nt out that the physical mass scales on the TeV brane may have changed sign ificantly since the electroweak epoch due to cosmological expansion, indepe ndently of the details of radius stabilization. (C) 2000 Elsevier Science B .V. All rights reserved.