Mohammad Alshammari, Muhammad Rizwan, Othman Abdullah Almatroud, Saleh Alshammari, Z. Yousaf
In this work, we explore traversable wormhole models in the realm of [Formula: see text] theory, with a monopole charge, by using the Einasto density profile to define the distribution of matter. We find exact wormhole solutions and properly analyze their stability through cracking analysis and causality conditions, verifying that these conditions are satisfied for the resulting configurations. We prove that such thrilling spacetime shortcuts are not only theoretically possible but also stable, tested through critical cracking analysis and causality conditions. A detailed investigation of the energy conditions is done, complemented by an equation of state that describes the exotic matter needed at the throat of the wormhole. The shape function is built with utmost care to satisfy the requisite flaring-out conditions for the theoretical realization of the wormhole. In addition, we incorporate a complexity factor analysis to measure the intrinsic geometry of the wormhole, conveying further insight into the function of density inhomogeneities and pressure anisotropies in maintaining the geometry. Our findings indicate that the obtained wormhole solutions in [Formula: see text] gravity with Einasto dark matter satisfy basic energy conditions and are stable under different diagnostic tests including TOV conservation equation, cracking and causality analysis and adiabatic index. This verifies the existence of stable, traversable wormhole geometries within this context.