Inflationary cosmology is developed in the second Randall-Sundrum braneworl
d scenario, where the accelerated expansion arises through potentials that
are too steep to drive inflation in conventional cosmology. A relationship
between the scalar and tensor perturbation spectra is derived that is indep
endent of both the inflaton potential and the brane tension. It is found th
at a single field with an inverse power law potential can act as both the i
nflaton and the quintessence field for suitable values of the brane tension
. (C) 2001 Published by Elsevier Science B.V.