Boson stars and their radial oscillations

TL;DR

This paper reviews the derivation of pulsation equations for boson stars, studies their radial oscillation frequencies across different self-interaction strengths, and verifies results through numerical evolution and Fourier analysis.

Contribution

It provides a comprehensive analysis of radial oscillations in boson stars, including derivation, numerical verification, and exploration of self-interacting cases.

Findings

Excellent agreement between pulsation equations and numerical Fourier analysis.

Radial oscillation frequencies depend on the self-coupling constant.

Methodology applicable to various boson star models.

Abstract

We review the derivation of the pulsations equations for spherically symmetric boson stars and then make a thorough study of the radial oscillation frequencies for the fundamental and first excited modes. We do this for self-interacting boson stars and consider a range of values for the self-coupling constant. We also numerically evolve boson stars and Fourier transform the dynamic solutions. The Fourier transform gives an independent computation of the radial oscillation frequencies and allows us to verify our results obtained from the pulsation equations. We find excellent agreement between the two methods.