Gravitational Stability of Boson Stars

TL;DR

This paper studies the stability of boson stars in general relativity by analyzing singularities and perturbation theory, identifying different stability regimes based on particle number.

Contribution

It introduces a novel classification of boson star stability using singularity analysis and compares it with traditional perturbation methods.

Findings

Boson stars exhibit stable, metastable, pulsating, and collapsing regimes.

Stability depends on the particle number within the star.

Singularity classification aligns with perturbation theory results.

Abstract

We investigate the stability of general-relativistic boson stars by classifying singularities of differential mappings and compare it with the results of perturbation theory. Depending on the particle number, the star has the following regimes of behavior: stable, metastable, pulsation, and collapse.