# A Newtonian Analysis of Multi-scalar Boson Stars with Large Self-couplings

## TL;DR

This paper analyzes multi-scalar boson stars with large self-couplings using Newtonian approximation, aiming to model exotic mass distributions that could explain galaxy rotation curves.

## Contribution

It introduces a novel approach linking coupling matrices to graph theory to construct models with unique mass distributions for boson stars.

## Key findings

- Models produce exotic mass distributions.
- Coupling matrices related to graph structures.
- Potential explanations for galaxy rotation curves.

## Abstract

We study solutions for boson stars in the multi-scalar field theory with global symmetry $[U(1)]^N$. The properties of the boson stars are investigated by the Newtonian approximation with the large coupling limit. Our purpose is to study the models bringing about exotic mass distributions which explain flat rotation curves of galaxies. We propose plausible models in which coupling matrices are associated with various graphs in graph theory.