Dark matter (DM) remains one of the greatest problems to our understanding of cosmology. The presence of universally pervading extra mass is clear and has been precisely measured; however excluding its presence in the Universe, the nature and properties of dark matter remain elusive. The Standard Model (SM) is known not to host viable dark matter candidate particles, which has led to the consideration of various extensions to the SM, as dark matter candidates' hosting theories. Astrophysical sources offer attractive laboratories for indirect testing and constraining the properties of dark matter through indirect detection of its annihilation or decay products (e.g. photons, neutrinos, charged particles). Indirectly these searches allow also to test the predictions of the SM extensions which host DM-candidate particles.
In this seminar we will briefly review several SM extensions which naturally provide dark matter candidates, including sterile neutrino, axion-like particles and dark photons. We will discuss environments most suitable for other than gravitational manifestation of the considered particles and potential ways to detect these manifestations. We will review existing constraints on the parameters of DM candidates, perspectives for indirect DM searches as well as discuss the improvement in the area which can be achieved with the next-generation space and ground-based missions.