Self-similar growth of Bose stars

Understand

We analytically solve the problem of Bose star growth in the bath of gravitationally interacting particles.

• We find that after nucleation of this object the bath is described by a self-similar solution of kinetic equation.
• Together with the conservation laws, this fixes mass evolution of the Bose star.
• Our theory explains, in particular, the slowdown of the star growth at a certain "core-halo" mass, but also predicts formation of heavier and lighter objects in magistral dark matter models.