Abstract
Recently, a new stability criterion has been introduced for general cylindrically symmetric thin-shell wormholes. The present work deals with thin-shell wormholes in the background of static cylindrically symmetric space-time i) with a cosmological constant and ii) with or without a magnetic field in Brans-Dicke gravity and the stability criterion is examined in the perspective of this newly introduced stability analysis. Finally, the stability conditions have been analyzed geometrically.
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