On existence of mini-boson stars (Q5940548)

Boson stars are compact gravitationally bounded soliton-like equilibrium configurations of bosonic fields. The simplest kind of boson star is made up of a self-gravitating free complex massive scalar field. The paper gives a rigorous proof of the existence of solitons for a countable family of global regular solutions of the spherically symmetric Einstein-Klein-Gordon equation. This equation describes the simplest boson stars.