Charged Black Cosmic String

TL;DR

This paper investigates charged black cosmic strings in anti-de Sitter spacetime, revealing their formation, properties, and the relationship between topological and black hole charges, without involving curvature singularities.

Contribution

It introduces the concept of charged black cosmic strings in anti-de Sitter space and clarifies the connection between topological and black hole charges using duality.

Findings

Existence of regular global cosmic strings, extremal black cosmic strings, and charged black cosmic strings in AdS space

No curvature singularities are involved in these solutions

Relationship between topological charge and black hole charge established via duality

Abstract

Global U(1) strings with cylindrical symmetry are studied in anti-de Sitter spacetime. According as the magnitude of negative cosmological constant, they form regular global cosmic strings, extremal black cosmic strings and charged black cosmic strings, but no curvature singularity is involved. The relationship between the topological charge of a neutral global string and the black hole charge is clarified by duality transformation. Physical relevance as straight string is briefly discussed.