Study of wormhole stability in the framework of black hole surrounded by the pseudo-isothermal dark matter halo

This work is devoted to exploring the formation and stability of thin-shell wormholes developed through the two similar copies of black holes bounded by the pseudo-isothermal dark matter halo. It is found that the horizon radius of a black hole decreases in the appearance of a pseudo-isothermal dark matter halo. The primary goal of the work is to investigate the stable composition of such wormholes using the analysis of linearized radial perturbation. It is worth mentioning that the existence of a pseudo-isothermal dark matter halo reduces the violation of energy bounds for the developed thin-shell wormholes. We investigate the impact of variable equations of state, such as barotropic, variable Chaplygin, and phantom-like equations of state, on the stability of the wormholes. The inquiry highlights that the appearance of a pseudo-isothermal dark matter halo portrays remarkable importance in preserving the stable compositions of thin-shell wormholes. The wormholes show maximal stable conduct for the selection of pseudo-isothermal dark matter halo as compared to already published research charged as well as regular thin-shell wormholes. The results reveal light on the interplay between wormholes and pseudo-isothermal dark matter halo, which increases our understanding of both conjectures and their potential implications for further space travel.