Analytical Approximation for Newtonian Boson Stars in Four and Five Dimensions -- A Poor Person's Approach to Rotating Boson Stars

TL;DR

This paper develops analytical approximations to study rotating boson stars in four and five dimensions, revealing relationships among physical parameters like radius, angular momentum, and energy, in both large coupling and Newtonian limits.

Contribution

It introduces a simplified analytical approach to understand rotating boson stars in higher dimensions, focusing on equilibrium solutions and parameter relations.

Findings

Relations among radius, angular momentum, and energy are qualitatively captured.

Analytical approximations are effective in large coupling and Newtonian limits.

Results apply to both four- and five-dimensional boson star models.

Abstract

In this paper, we study rotating boson stars in the large coupling limit as well as in the Newtonian limit. We investigate the equilibrium solutions in four and five dimensions by adopting some analytical approximations. We show that the relations among the radius, angular momentum, Newtonian energy and quadrupole moment (for the four-dimensional solution) of the boson star can be qualitatively realized for the minimal number of boson star parameters.