Analytical Study of Charged Boson Stars with Large Scalar Self-couplings

TL;DR

This paper provides approximate analytic solutions for charged boson stars with large scalar self-couplings, showing good agreement with numerical results near the critical charge-mass relation in general relativity.

Contribution

It introduces a new analytic approach for charged boson stars in the large scalar self-coupling limit, aligning well with numerical solutions near critical charge-mass conditions.

Findings

Analytic solutions match numerical results near critical charge-mass relation.

Stable solutions are well-described by the derived analytic expressions.

The approach simplifies understanding of charged boson stars in strong coupling regimes.

Abstract

We give good approximate analytic solutions for spherical charged boson stars in the large scalar-self-coupling limit in general relativity. We show that if the charge $e$ and mass $m$ of the scalar field nearly satisfy the critical relation $e^2\approx Gm^2$ (where $G$ is the Newton constant), our analytic expressions for stable solutions agree well with the numerical solutions.