Effect of perfect fluid dark matter on Bardeen thin-shell wormholes

In the context of perfect fluid dark matter, this study examines the formation and stability of Bardeen thin-shell wormholes. The mathematical structure of equivalent copies of Bardeen black holes with perfect fluid dark matter is used to create the thin-shell wormholes via cut-and-paste method. Utilizing linearized radial perturbation analysis, the study's main objective is to explore the stable geometry of these wormholes. We study the effect of variable equations of state on the stability of the wormholes, including barotropic, variable Chaplygin, and phantom-like equations of states. The investigation emphasizes the inclusion of dark matter, an unsolved mystery part that makes up a sizeable amount of the universe's mass, and explores how various equations of state for the dark matter affect the stability and characteristics of the wormholes. The discoveries improved our comprehension of both phenomena and their possible implications for further space travel by shedding insight on the interactions between wormholes and dark matter.