Exploring Viable Traversable Wormhole Geometries in Non‐Metric Gravity

Abstract This research examines the viability of charged wormhole (WH) geometries in the background of non‐metric gravity, characterized through the function , where non‐metricity is defined by and trace of stress–energy tensor is represented by . Adopting the Morris–Thorne spacetime and incorporating Maxwell field equations with an anisotropic fluid configuration, the static spherically symmetric WH structures are analyzed. The modified field equations that capture the gravitational dynamics influenced by non‐metricity and matter sources are deduced. Various models and shape functions with constant redshift are considered to find solutions for traversable WHs. Additionally, the energy conditions for different functional forms to identify viable WH structures are explored. This analysis reveals that traversable WH solutions are possible in this gravitational model, shedding light on the characteristics of spacetime and the potential for creating shortcuts in the universe.