  We review the work done so far aimed at modeling in an alternative way the
dark matter in the Universe: the scalar field/ Bose-Einstein condensate dark
matter (SFDM/BEC) model. We discuss a number of important achievements and
characteristics of the model. We also describe some of our most recent results
and predictions of the model compared to those of the standard model of
$\Lambda$CDM.

Cosmology and Nongalactic Astrophysics