Mechanical Stability of Cylindrical Thin-Shell Wormholes
M. Sharif, M. Azam
TL;DR
This paper investigates the mechanical stability of cylindrical thin-shell wormholes constructed from charged black strings, using the Darmois-Israel formalism and Chaplygin gas, finding conditions for stable static solutions.
Contribution
It introduces a stability analysis of thin-shell wormholes based on charged black strings with Chaplygin gas, extending previous models with new stability criteria.
Findings
Stable static solutions exist for uncharged black string wormholes.
Stable static solutions exist for charged black string wormholes.
Stability depends on specific parameter values.
Abstract
In this paper, we apply the cut and paste procedure to charged black string for the construction of thin-shell wormhole. We consider the Darmois-Israel formalism to determine the surface stresses of the shell. We take 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.
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