Modeling less complex fuzzy dark matter cylindrical wormholes

The objective of this paper is to provide a piece of theoretical evidence for the existence of cylindrically symmetric, time-independent wormhole models surrounded by the halos of fuzzy dark matter. To do so, we model our system by assuming a cylindrical spacetime coupled with locally anisotropic matter content. We calculate the shape function involved in the construction of fuzzy dark matter wormholes, by solving simultaneous equations of motion and density powered by Einasto energy profile. The investigation of the validity of null energy conditions is performed with the aim of seeing stable wormhole structures. The role of the equation of state parameter in the theoretical structure of the shape function and the redshift function is studied which would lead to understanding the signals’ gravitational redshift and the spatial distribution of the fuzzy wormholes. A few characteristics of the wormholes like hydrostatic equilibrium, and active C-energy are also noticed in the less complex wormholes. It is inferred that the stability as well as the size of the fuzzy dark matter wormholes can be fine-tuned by modulating the index parameter involved in the energy source.