Growth of Bose star in the bath of gravitationally interacting particles.

Bose star is a self-bound ball of Bose-Einstein condensate. It spontaneously forms in the homogeneous gas of gravitationally interacting bosons - see the top right panel, where the color encodes particle density. After the birth, the Bose star grows absorbing the particles. Bottom right panel shows its time-dependent mass (red solid line) which agrees with the theoretical prediction (dashed). Top left panel demonstrates energy spectrum F(w) = dN/dw, i.e. the number of particles with energy w. In this graph, the Bose star is a narrow peak at negative w. With time, the peak becomes higher and shifts to the left: the star grows. Notably, the spectrum at positive w is self-similar, i.e. does not evolve after rescaling of F and w, see the graph in the bottom left. It is well described by our self-similar theory (chain points). See