Charged Compact Boson Stars and Shells in the Presence of a Cosmological Constant

TL;DR

This paper explores charged boson stars and shells within a theory of massive complex scalar fields coupled to gauge fields and gravity, considering the effects of a cosmological constant in de Sitter and Anti-de Sitter spaces, revealing two types of solutions and their properties.

Contribution

It introduces new solutions for charged boson stars and shells with a cosmological constant, expanding understanding of their properties in different spacetime backgrounds.

Findings

Boson stars exhibit ball-like and shell-like charge densities.

Existence domains depend on theory parameters and cosmological constant.

Solutions are found in both de Sitter and Anti-de Sitter spaces.

Abstract

In this work we study the boson stars and boson shells in a theory involving massive complex scalar fields coupled to the U(1) gauge field and gravity in a conical potential in the presence of a cosmological constant ${\Lambda}$ which we treat as a free parameter taking positive and negative values and thereby allowing us to study the theory in the de Sitter and Anti de Sitter spaces respectively. Boson stars are found to come in two types, having either ball-like or shell-like charge density. We have studied the properties of these solutions and have also determined their domains of existence for some specific values of the parameters of the theory. Similar solutions have also been obtained by Kleihaus, Kunz, Laemmerzahl and List in a theory involving massless complex scalar fields coupled to the U(1) gauge field and gravity in a conical potential in the absence of a cosmological constant ${\Lambda}$.