JEANS MASS OF NEWTONIAN BOSE CLOUDS

The gravitational instability of free and dilute Newtonian boson cloud s has been examined. For collisionless Newtonian boson clouds with a u niform unperturbated Bose gas density, it is deduced that the gravitat ional instability will never give rise to the formation of boson stars , but only black holes; however if the unperturbated density, in the n eighbourhood of the perturbation, has a scale length equal to or small er than the perturbation wavelength, the formation of free Newtonian b oson stars could also be possible. For dilute Newtonian boson clouds i t is shown that the gravitational instability can lead the cloud to co ndense into boson stars of different masses but identical radii, in ag reement with studies about equilibrium configurations of dilute Newton ian boson stars. The galactic distribution of these Newtonian boson st ars, and hence, the average distance among them is also discussed.