How could have Boson Stars formed in the universe at all?

Boson particles have been predicted by some to have been able to form stars known as Boson Stars . I am curious as to how these stars could have formed given that Boson particles are not truly affected by gravity. Also, given that Boson particles that have the same energy level can occupy the same space and move freely within other Boson particles, then how would the stars have been able to form from a structural perspective? If the Boson particles had an intrinsic gravitational pull, would it not be likely that the particles would simply all settle down to the same energy level and condense to occupy the volume of only one Boson particle? To explain that better, it looks like that if the particles had gravity they would just form together in a very dense core. Bosons also have mass, so if enough of these particles would come together in a space the size of a Boson particle, would this not pass critical mass very quickly and form a black hole?