Analyzing deformed-Ads thin-shell wormholes with global monopole and quintessence

In this work, we construct thin-shell wormholes from a deformed AdS-Schwarzschild black hole endowed with a global monopole and surrounded by a quintessence field. The wormhole geometry is obtained using the cut-and-paste technique at a timelike hypersurface, ensuring a regular spacetime free from horizons and singularities at the throat. By appropriately tuning the deformation parameter, monopole charge, and quintessence parameter, the proposed metric smoothly reduces to several well-known black hole solutions, including the AdS-Schwarzschild, Kiselev–AdS, monopole-AdS, and deformed Schwarzschild spacetimes. We analyze the horizon structure and surface stresses of the thin shell, showing that the null and weak energy conditions are necessarily violated at the throat, as required for traversable wormhole configurations. The dynamical stability of the wormhole is investigated under linearized radial perturbations preserving spherical symmetry by employing an effective potential approach. The graphical analysis demonstrates that spacetime deformation, global monopole charge, and quintessence field significantly enlarge the stability regions and shift them toward larger throat radii. Furthermore, we examine the stability of the thin-shell wormhole for different equations of state, including barotropic, phantom-type variable, and Chaplygin-type variable models. While phantom-type matter restricts the stability domains, the Chaplygin-type equation of state yields the most favorable stability behavior due to its non-linear dependence on the energy density. Overall, our results reveal that the combined effects of deformation, topological defects, and dark-energy-like fields provide an efficient mechanism for constructing dynamically stable thin-shell wormholes in deformed AdS backgrounds.

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