Dark Matter (DM) constitutes most of the matter in the presently accepted cosmological model for our Universe. The extreme conditions of ordinary baryonic matter, namely high density and compactness, in dense stars, such as Neutron Stars and White Dwarfs, make these objects suitable to gravitationally accrete such a massive component provided interaction strength between both, luminous and dark sectors, is at current experimental level of sensitivity. DM searches are becoming more diverse now and some popular candidates which are difficult to test with direct detection experiments are well suited to be studied in astrophysical scenarios. For example, whereas light DM particles with masses smaller than that of the nucleon can only provide kinematical recoil energies below the threshold for current conventional terrestrial searches in direct detection experiments, these candidates could have an impact on the properties of compact objects and provide new indirect signals. On the other hand, there are many DM candidates with interactions which are velocity suppressed when they happen in the Earth or in the Sun but these interactions may be important inside dense objects.
We consider several different DM phenomenological models from the myriad of those presently allowed. In particular, we focus on fermionic DM accreted by compact stars. Once DM is inside these objects, depending on its nature, these particles could provide an energy source which may have an impact on relevant stellar quantities such as heat transport, thermal conductivity, emissivities or luminosities of these stars.
