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In this paper we construct spherical thin-shell wormholes supported by a Chaplygin gas. For a rather general class of geometries we introduce a new approach for the stability analysis of static solutions under perturbations preserving the symmetry. We apply this to wormholes constructed from Schwarzschild, Schwarzschild--de Sitter, Schwarzschild--anti-de Sitter, and Reissner-Nordstr\"om metrics. In the last two cases, we find that there are values of the parameters for which stable static solutions exist.
Eiroa et al. (Tue,) studied this question.