Thin-shell wormholes constructed via polytropic surgery

We mainly construct a thin-shell wormhole supported by polytropic gas and discuss its celestial features. To reach this goal, we first surgically graft together two static spherically symmetric black holes to construct a wormhole and then take the polytropic gas as the exotic matter located at the throat. Though most wormholes are unstable to linearized radial perturbations, we introduce some limiting arguments to show that stable wormholes can be achieved under particular circumstances. Moreover, we see that the components of stress energy within the shell of the wormhole do not obey the null and weak energy conditions, but fulfill the strong energy condition. The most striking conclusion is that certain conditions of wormholes depend directly on the diverse aspects of the selected black hole structure.