Charged Boson Stars and Black Holes

TL;DR

This paper explores novel charged boson star and black hole solutions in scalar electrodynamics with a V-shaped potential, revealing unique structures like shells and throats, and challenging black hole uniqueness.

Contribution

It introduces new types of charged boson stars and black holes with shell-like structures and analyzes their properties and domains of existence.

Findings

Existence of ball-like and shell-like charged boson stars.

Black hole solutions with shells of charged matter and throats.

Violation of black hole uniqueness in these solutions.

Abstract

We consider boson stars and black holes in scalar electrodynamics with a V-shaped scalar potential. The boson stars come in two types, having either ball-like or shell-like charge density. We analyze the properties of these solutions and determine their domains of existence. When mass and charge become equal, the space-times develop a throat. The shell-like solutions need not be globally regular, but may possess a horizon. The space-times then consist of a Schwarzschild-type black hole in the interior, surrounded by a shell of charged matter, and thus a Reissner-Nordstroem-type space-time in the exterior. These solutions violate black hole uniqueness. The mass of the black hole solutions is related to the mass of the regular shell-like solutions by a mass formula of the type first obtained within the isolated horizon framework.