  We investigate a class of cylindrically symmetric inhomogeneous
$\Lambda$-dust spacetimes which have a regular axis and some zero expansion
component. For $\Lambda\ne 0$, we obtain new exact solutions to the Einstein
equations and show that they are unique, within that class. For $\Lambda=0$, we
recover the Senovilla-Vera metric and show that it can be locally matched to an
Einstein-Rosen type of exterior. Finally, we explore some consequences of the
matching, such as trapped surface formation and gravitational radiation in the
exterior.
