We investigate how braneworld gravity affects gravitational collapse and bl
ack hole formation by studying Oppenheimer-Snyder-like collapse on a Randal
l-Sundrum-type brane. Without making any assumptions about the bulk, we pro
ve a no-go theorem: the exterior spacetime on the brane cannot be static, w
hich is in stark contrast with general relativity. We also consider the rol
e of Kaluza-Klein energy density in collapse. using a toy model.