On Profiles of Boson Stars with Self-Interactions

TL;DR

This paper develops a method to analytically model boson star profiles with self-interactions, revealing significant differences from noninteracting cases and validating results against numerical solutions.

Contribution

It introduces an analytical approach using asymptotic expansions to describe boson stars with self-interactions, including strong interaction regimes, and compares with numerical solutions.

Findings

Profiles are obtained analytically as a function of self-interactions.

Strong self-interactions cause notable distortions in boson star profiles.

Analytical results agree with numerical solutions.

Abstract

Under the influence of gravity, light scalar fields can form bound compact objects called boson stars. We use the technique of matching asymptotic expansions to obtain the profile for boson stars where the constituent particles have self-interactions. We obtain parametric representations of these profiles as a function of the self-interactions, including the case of very strong self-interactions. We show that our methods agree with solutions obtained by purely numerical methods. Significant distortions are found as compared to the noninteracting case.