Stability of generic cylindrical thin shell wormholes

Abstract

We revisit the stability analysis of cylindrical thin shell wormholes which have been studied in literature so far. Our approach is more systematic and in parallel to the method which is used in spherically symmetric thin shell wormholes. The stability condition is summarized as the positivity of the second derivative of an effective potential at the equilibrium radius, i.e. $V^{\prime \prime }\left(a_0\right)>0$. This may serve as the master equation in all stability problems for the cylindrical thin-shell wormholes.

7 pages, 2 figures. Final version, accepted for publication in Phys. Rev. D

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• 3+1-dimensional thin-shell wormhole with deformed throat can be supported by normal matter
• Thin shells joining local cosmic string geometries
• Thin shells associated to black string spacetimes
• Microscopic thin shell wormholes in magnetic Melvin universe
• Thin-shell wormholes in 2+1-dimensional Einstein-Scalar Theory