Anisotropic Traversable Wormholes in Modified Gravity: Geometric Structure and Stability Analysis

This manuscript investigates the viability and stability of traversable wormholes within f(ℚ,ℒm) gravity, where ℚ represents non-metricity scalar and ℒm denotes the matter-Lagrangian. The corresponding anisotropic field equations are derived by employing the Morris-Thorne metric in conjunction with a linear model. A constant redshift function is assumed to derive the corresponding shape function associated with the Navarro-Frenk-White density profile. To assess the physical acceptability of the model, several geometric and physical properties including active gravitational mass, volume integral quantifier, equilibrium condition and anisotropic behavior are investigated thoroughly. The violation of energy conditions indicate the presence of exotic matter and supports the viability of wormhole. Furthermore, the graphical analysis of the adiabatic index demonstrates the stability of traversable wormhole within appropriate parameter range. The results confirm the existence of viable and stable traversable wormhole under the influence of exotic matter distribution within this modified gravity.