  We present a class of general prolate and oblate spheroidal spacetimes for
the description of cosmic structures in the Universe. They are exact geometries
which represent, in an appropriated way, the imbedding of spheroidal
matter-energy distributions within a standard cosmological scenario, and
therefore they allow for an improved description of a wider class of
astrophysical systems from a more accurate point of view. These spacetimes can
be used to describe overdensity or underdensity regions; in this work we
consider the last case, that is, the description of cosmic voids. We introduce
and study a model of void which is a generalization of a simpler one in
spherical symmetry and we use it for the calculation of weak lensing optical
scalars as a non-trivial and interesting application. In this particular
example we show the rich observable features that can be found in such models.
