Linearized stability of cylindrical thin-shell wormholes

Abstract

The objective of this paper is to investigate the stability of cylindrical thin-shell wormholes. We follow the Visser’s cut and paste approach for the construction of thin-shell. The Darmois–Israel formalism is used to determine the stress–energy tensor. The null and weak energy conditions as well as attractive and repulsive characteristics of thin-shell wormholes are analyzed. We find both stable and unstable solutions by taking dark energy, generalized cosmic Chaplygin gas, and modified cosmic Chaplygin gas models as exotic matter at the wormhole throat. Finally, we compare our results with those for modified generalized Chaplygin gas model.