Traversability of Morris–Thorne wormhole with conformal symmetry admitting Ricci Soliton

In this study, we explore the behavior of a Morris–Thorne wormhole under the influence of a Ricci soliton vector field. We derive the expressions for the four components of the vector field in this context and determine the corresponding shape function. Our analysis shows that the wormhole solution satisfies all the criteria for a traversable wormhole. Notably, we identify a negative trend in the null energy condition near the wormhole’s throat. To provide further insight, we present an embedding diagram depicting the wormhole’s geometry. Additionally, we evaluate its stability using the Tolman–Oppenheimer–Volkoff (TOV) equation and calculate the required exotic matter through the Volume Integral Quantifier.