Wormholes construction through the diverse dark matter density profiles

Abstract In this manuscript, we study traversable wormhole configurations under the influence of different dark matter density models, including Burkert, Moore, and Einasto density profiles. By using these density distributions, we construct wormhole configurations and find out the unknowns involved in the field equations. Finding the importance of dark matter in the hunt for traversable wormhole solutions inside galactic halos is the main goal of the current work. In order to gain a deeper comprehension of the physical plausibility and structural stability of the wormhole configurations, we examine the behavior of essential physical quantities, including the breaching of the null energy conditions, active gravitational mass, the equation of state, and the conservation of the stress-energy tensor. Additionally, we study the behavior of the complexity factor associated with each density model. From the analysis of these physical quantities, we show that the resulting wormhole solutions from each density model deviates from the null energy conditions, indicating that the wormhole configurations are supported by dark matter in order to survive in the galactic halos and exhibit viability.