Thin shells joining local cosmic string geometries

Ernesto F Eiroa,Emilio Rubín De Celis,Claudio Simeone

doi:10.1140/epjc/s10052-016-4401-5

Abstract

In this article we present a theoretical construction of spacetimes with a thin shell that joins two different local cosmic string geometries. We study two types of global manifolds, one representing spacetimes with a thin shell surrounding a cosmic string or an empty region with Minkowski metric, and the other corresponding to wormholes which are not symmetric across the throat located at the shell. We analyze the stability of the static configurations under perturbations preserving the cylindrical symmetry. For both types of geometries we find that the static configurations can be stable for suitable values of the parameters.

Highlights

Thin matter layers (“thin shells”) [17,18,19,20] and their associated geometries appear in both cosmological and astrophysical frameworks
In this article we present a theoretical construction of spacetimes with a thin shell that joins two different local cosmic string geometries
For both types of geometries we find that the static configurations can be stable for suitable values of the parameters

Summary

Introduction

Thin matter layers (“thin shells”) [17,18,19,20] and their associated geometries appear in both cosmological and astrophysical frameworks. While most thin-shell models studied are associated to spherically symmetric geometries, cylindrical shells have been considered of interest. The mechanical stability analysis of thin-shell cylindrical wormholes which are symmetric across the throat was performed in Refs. J. C (2016) 76:546 drical shells joining inner and outer regions have been associated to different matter contents and different backgrounds in Refs. Most preceding work deals with different geometries joined by a static shell, or the stability of wormholes which are symmetric across the throat. We study the properties of matter on the shells and their mechanical stability under perturbations preserving the symmetry We analyze both the case of inner solutions joined to outer ones and the case of traversable thin-shell wormholes which are not symmetric across the throat, as those constituting the backgrounds in [47,48].

Construction and stability

Thin shells

Wormholes

Summary