Eur. Phys. J. C (2013) 73: 2407
https://doi.org/10.1140/epjc/s10052-013-2407-9

Regular Article - Theoretical Physics

Mechanical stability of cylindrical thin-shell wormholes

¹ Department of Mathematics, University of the Punjab, Quaid-e-Azam Campus, Lahore, 54590, Pakistan
² Division of Science and Technology, University of Education, Township Campus, Lahore, 54590, Pakistan

^* e-mail: msharif.math@pu.edu.pk

Received: 25 February 2013
Revised: 8 April 2013
Published online: 20 April 2013

Abstract

In this paper, we apply the cut and paste procedure to the charged black string for the construction of a thin-shell wormhole. We consider the Darmois–Israel formalism to determine the surface stresses of the shell. We take the Chaplygin gas to deal with the matter distribution on shell. The radial perturbation approach (preserving the symmetry) is used to investigate the stability of static solutions. We conclude that stable static solutions exist both for uncharged and charged black string thin-shell wormholes for particular values of the parameters.