On existence of mini-boson stars

TL;DR

This paper proves the existence of a countable family of spherically symmetric mini-boson star solutions to Einstein-Klein-Gordon equations, confirming their existence beyond numerical discovery.

Contribution

It provides a rigorous mathematical proof for the existence of mini-boson stars, previously known only through numerical methods.

Findings

Existence of a countable family of solutions confirmed

Solutions are globally regular and spherically symmetric

Mathematically rigorous proof established

Abstract

We prove the existence of a countable family of globally regular solutions of spherically symmetric Einstein-Klein-Gordon equations. These solutions, known as mini-boson stars, were discovered numerically many years ago.