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Using ideas from the brane world cosmological perturbation theory, we makelinear stability analysis of dynamic thin shell wormholes constructed bycutting-and-pasting two building-block spacetime at arbitrary joining shellradiuses. We observed that in appropriate parameter choices, dynamical thinshell wormholes following from such a cut-and-paste procedure can be keptstable during the whole evolution process towards the final extreme point onwhich the joining-shell radius arrives on static values. Our work forms avaluable complementarity to previous analysis basing on virtual radialperturbations around the born-static value of the joining-shell radius whichallows no real evolution of the wormhole.

Linear Stability Analysis of Evolving Thin Shell Wormholes