Network of Domain Walls on Soliton Stars

TL;DR

This paper investigates the formation of a domain wall network on soliton stars, showing how fermion localization affects their stability and mass limits, with implications for their decay and charge properties.

Contribution

It introduces a model where localized fermion zero modes on domain wall networks influence soliton star stability and mass bounds, highlighting conditions for decay or neutrality.

Findings

Localized fermion zero modes exist on the domain wall network under certain conditions.

The soliton star becomes unstable and decays if fermions bind to the network.

Without fermion binding, the network is neutral, increasing the star's critical mass.

Abstract

We explore the idea of a network of domain walls to appear at the surface of a soliton star. We show that for a suitable fine tuning among the parameters of the model we can find localized fermion zero modes only on the network of domain walls. In this scenario the soliton star gets unstable and decays into free particles before the cold matter upper mass limit is achieved. However, if fermions do not bind to the network of domain walls, the network becomes neutral, imposing a new lower bound on the charge of the soliton star, slightly raising its critical mass.