Self-similar growth of Bose stars

TL;DR

This paper analytically models the self-similar growth of Bose stars within a gravitational particle bath, explaining mass evolution and predicting the formation of various object masses in dark matter scenarios.

Contribution

It introduces an analytical, self-similar solution to Bose star growth, providing new insights into their mass evolution and formation in dark matter models.

Findings

Explains the slowdown of Bose star growth at a specific mass.

Predicts formation of heavier and lighter objects in dark matter models.

Develops an 'adiabatic' approach to self-similarity in kinetic theory.

Abstract

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. The developed "adiabatic" approach to self-similarity may be of interest for kinetic theory in general.