Abstract In this manuscript, we study and construct minimally deformed fuzzy dark matter wormhole (WH) configurations fenced by solitonic quantum wave (SQW) dark matter (DM) halos using the minimal geometric deformation technique within the realm of Einstein’s general theory of relativity. We construct the deformed spacetime by using SQW profile and test the obtained solutions against an extensive analysis concerning the shape function, embedding surfaces, mass distribution, compactness, and the fate of the effective equation of state. Moreover, we examine the conservation laws, the complexity function arising from anisotropic matter sources, and spacetime regularity to evaluate the physical validity of the model. Further, we pay particular attention to the satisfaction or violation of the classical energy conditions and their connection with the specific amount of exotic matter incorporated within the model as characterized by the parameter of exoticity and the corresponding volume integral quantifier. It is shown that within the framework of the MGD approach, traversable WH geometries are feasible, which smoothly capture the characteristics of SQW DM while showing an appropriate level of finely tuned exoticity within the vicinity of the throat.
Alshammari et al. (Tue,) studied this question.