  The existence of hidden sectors weakly coupled to the visible one has been
extensively studied as a way to extend the Standard Model (SM) and to provide a
good dark matter candidate. In this work we analyze two models in which gauge
and scalar hidden fields interact with the visible sector which, for simplicity
we take as an Abelian Higgs model. In one of them, the hidden sector consists
of an uncharged scalar. The connection with the visible Abelian Higgs sector is
in this case provided by the interaction between the scalars in the two sectors
and also by the coupling between the hidden scalar and the visible squared
field strength. This model can be seen as an extension of previously studied
ones both in high energy and in condensed matter physics and the solutions that
we find indicate that it could be relevant in connection to establishing the
dark matter relic density. In the second model, both sectors correspond to
spontaneously broken gauge theories and hence they feature classical vortex
solutions. Introducing three different portals between the two sectors, we
analyze the dependence of the model dynamics on the portal parameters and
discuss the physical implications in connection with dark matter and
gravitational radiation issues.
