  We derive exact solutions of the Einstein equations in the context of the
Randall-Sundrum model with matter both on the brane and in the bulk. The bulk
metric is a generalization of the static metrics describing the interior of
stellar objects. We study the cosmological evolution on the brane. Our
solutions describe energy ouflow from the brane, and the appearance of
``mirage'' contributions to the Hubble expansion that alter the standard
cosmological evolution.
