Dark matter halos-inspired wormhole solutions in conformal Rastall theory

In this work, we formulate some analytical forms of wormhole shape function by taking some interesting and well-motivated energy density profiles of dark matter halos in Rastall theory of gravity. For achieving this goal, a static wormhole geometry with spherically symmetric properties is taken into account with anisotropic fluid as ordinary matter source. By involving conformal killing vectors of spacetime geometry, we explore the graphical behavior of resulting wormhole shape models and check their viability by analyzing the impact of Rastall parameter on obtained models. Further, we investigate the evolution of null energy bounds, the EoS parameters, anisotropy ratio, exoticity factor, adiabatic index and volume integral quantifier for all cases. For demonstrating the stability of developed wormhole configurations, we discuss the behavior of forces present in generalized Tolman–Oppenheimer–Volkoff equation. We also explore the behavior of adiabatic index as well as the squared speed of sound parameters to confirm the stable behavior of wormhole geometry. It is concluded that the formulated wormholes are physically valid and stable for certain choices of Rastall parameter.