We take the null limit of the Szekeres metric, and obtain a generaliza
tion of the Kinnersley rocket metric. It may be viewed as being an inh
omogeneous assembly of 2-surfaces that have intrisic spherical, planar
or pseudo-spherical symmetry. This new metric inherits many propertie
s of the Szekeres metric, so it has no Killing vectors, no quadrupole
moment, and emits no gravitational radiation. We also show that the Ka
ntowski-Sachs-type Szekeres metric is a regular limit of the Lemaitre-
Tolman type, thus unifying the two Szekeres types.