  We analyze the evolution of a homogenous and pressureless ball of dust (or
"star") in ghost-free massive gravity on de Sitter spacetime. We find that
gravitational collapse does not take place for all parameters of the massive
gravity theory. For parameters where it does occur, we find the expression for
the location of the apparent horizon where it crosses the surface of the star,
indicating the location of the apparent horizon of the vacuum solution at that
moment. We determine the Ricci curvature at the boundary of the star and
extract the finite correction to the curvature of the apparent horizon due to
the graviton mass. Finally, we argue that our collapsing solutions cannot be
matched to a static, spherically symmetric vacuum solution at the star's
surface, providing further evidence that physical black hole solutions in
massive gravity are likely time-dependent.
