We study solutions corresponding to moving domain walls in the Randall-Sund
rum universe. The bulk geometry is given by patching together black hole so
lutions in AdS(5), and the motion of the wall is determined from the juncti
on equations. Observers on the wall interpret the motion as cosmological ex
pansion or contraction. We describe the possible wall trajectories, and exa
mine the consequences for localized gravity on the wall.