  We study the spherically symmetric collapse of a cloud of dust in VCDM, a
class of gravitational theories with two local physical degrees of freedom. We
find that the collapse corresponds to a particular foliation of the
Oppenheimer-Snyder solution in general relativity (GR) which is endowed with a
constant trace for the extrinsic curvature relative to the time $t$ constant
foliation. For this solution, we find that the final state of the collapse
leads to a static configuration with the lapse function vanishing at a radius
inside the apparent horizon. Such a point is reached in an infinite time-$t$
interval, $t$ being the cosmological time, i.e. the time of an observer located
far away from the collapsing cloud. The presence of this vanishing lapse
endpoint implies the necessity of a UV completion to describe the physics
inside the resulting black hole. On the other hand, since the corresponding
cosmic time $t$ is infinite, VCDM can safely describe the whole history of the
universe at large scales without knowledge of the unknown UV completion,
despite the presence of the so-called shadowy mode.
