Maximum Mass of Boson Star Formed by Self-Interacting Scalar Fields

TL;DR

This paper analytically derives the maximum mass of stable boson stars formed by scalar fields with self-interactions, showing the results align with numerical findings and how higher order interactions influence the maximum mass.

Contribution

It provides an analytic derivation for the maximum mass of boson stars with arbitrary self-interactions, extending previous numerical results.

Findings

Maximum mass decreases with higher order self-interactions as (m/M_p)^2

Analytic results match numerical simulations

Higher order interactions have diminishing impact on maximum mass

Abstract

We make analytic derivation for maximum masses of stable boson stars formed by scalar fields with any higher order self-interactions and show that those are equivalent to numerical results. It is shown that the contribution of the higher order self-interaction terms to the maximum mass decreases as $(m/M_p)^2$ power.