A new family of compact objects formed by dark matter admixed with neutron star matter and white dwarf material is investigated. We consider non-self annihilating dark matter with an equation-of-state given by an interacting Fermi gas with particle masses in the range of 1-500 GeV. We obtain new stable solutions, dark compact stars. For weakly interacting dark matter, the dark compact stars have Earth-like masses and radii from few Km to few hundred Km, whereas they have Jupiter-like masses and radii of few hundred Km for the strongly interacting dark matter case. We observe that the smaller the dark matter particle mass, the larger the quantity of dark matter captured is, putting constraints on the dark matter mass trapped in the compact objects so as to fullfill 2Msun observations. We also show that the pulsar mass depends on the environment, and that it decreases going towards
the center of the Milky Way due to dark matter capture by those stars. This can be used as a probe for the existence and nature of dark matter. We propose that the evolution of the pulsar mass in a dark matter rich environment can be used to put constraints, when combined with future experiments, on the characteristics of our Galaxy halo dark matter prole, on the dark matter particle mass and on the dark matter self-interaction strength.