Complex structures of boson stars and anisotropic distribution of satellite galaxies

We construct and explore the complex structures of boson stars, drawing inspiration from similar configurations of nontopological solitons in Minkowski space. These ``molecular states'' of boson stars have a multipolar structure and both positive and negative Noether charges within one star, and the opposite charges swap with time. Thanks to the gravitational attraction, they exist even in the case of a free scalar field. We also explore the effects of scalar self-interactions on these complex structures. We propose to use Galactic-scale charge-swapping boson stars as a potential solution to the problem of the observed anisotropic distribution of satellite galaxies.