Boson Stars with Large Self-interaction in (2+1) dimensions: an Exact Solution

TL;DR

This paper presents an exact solution for a nonrotating boson star in (2+1) dimensions with negative cosmological constant, detailing the relationships among its mass, particle number, and radius.

Contribution

It provides the first exact analytical solution for a boson star in (2+1) dimensions with self-interaction, expanding understanding of lower-dimensional gravitational solitons.

Findings

Derived relations among mass, particle number, and radius.

Established existence of nonrotating boson stars in (2+1) dimensions.

Provided analytical framework for future studies.

Abstract

An exact solution for a nonrotating boson star in (2+1) dimensional gravity with a negative cosmological constant is found. The relations among mass, particle number, and radius of the (2+1) dimensional boson star are shown.