  We derive a new class of time-dependent solutions for the Randall-Sundrum
model by patching together isometries broken by the brane. Solutions generated
by generalized boosts along the fifth dimension are associated with localized
gravity and lead to an effective Friedman equation on the brane with a scale
factor exhibiting power law or exponential behaviour. The effective
energy-density on the brane depends linearly on the brane tension.
