Dark matter as condensed phase of generic bosons

We analyze the properties of a generic bosonic cloud that we interpreted as a condensed phase of generic bosons or a Bose-Einstein condensate (BEC) type halo surrounding a Schwarzschild-type black hole. We model the halo as a condensed phase of generic bosons in terms of a massive scalar field that satisfies a self-interacting Klein-Gordon equation. To model the density of particles of the corresponding cloud, we apply the so-called Thomas-Fermi approximation that allows us to extract relevant properties of the system. By using galaxy data from a subsample of SPARC data base, we find the best fits of the BEC model by using the Thomas-Fermi approximation. We show that in the centre of galaxies we must have a supermassive compact central object, i.e., supermassive black hole, additionally the cloud or the halo behaves as a weakly interacting BEC composed of ultralight bosons.