Stability of charged solitons and formation of boson stars in 5-dimensional Anti-de Sitter space-time

TL;DR

This paper investigates the stability and formation of charged solitons and boson stars in 5D Anti-de Sitter space, revealing conditions for scalar hair development and the potential for arbitrarily large charge and mass in AdS.

Contribution

It provides a detailed analysis of how scalar field parameters influence the stability and properties of charged solitons and boson stars in 5D AdS space.

Findings

Charged solitons can develop scalar hair under certain parameters.

Existence of a forbidden band of mass and charge for small scalar charges.

Boson stars in AdS can have arbitrarily large charge and mass, unlike in flat space.

Abstract

We study the stability of charged solitons in 5-dimensional Anti-de Sitter (AdS) space-time. We show that for appropriate choices of the parameters of the model these solutions become unstable to form scalar hair. We find that the existence of charged solitons with scalar hair depends crucially on the charge and the mass of the scalar field. We investigate the dependence of the spectrum of solutions on the mass of the scalar field in detail. For positive mass of the scalar field the hairy solitons can be interpreted as charged boson stars. We find that for sufficiently small value of the charge of the scalar field a "forbidden band" of the boson star mass and charge exists, while all our results indicate that - contrary to the asymptotically flat space-time case - boson stars in asymptotically AdS can have arbitrarily large charge and mass.