A comparative study of wormhole geometries under two different modified gravity formalism

In the current article, we discuss the wormholegeometries in two different gravity theories, namelyF(Q,T)gravity andF(R,T)gravity. In these theories,Qis calleda non-metricity scalar,Rstands for the Ricci scalar, and Tde notes the trace of the energy-momentum tensor (EMT).The main goal of this study is to comprehensively compare the properties of wormhole solutions within these two modi-fied gravity frameworks by taking a particular shape function.The conducted analysis shows that the energy density is con-sistently positive for wormhole models in both gravity theories, while the radial pressure is positive forF(Q,T)gravity and negative inF(R,T)gravity. Furthermore, the tangentialpressure shows reverse behavior in comparison to the radial pressure. By using the Tolman-Oppenheimer-Volkov (TOV)equation, the equilibrium aspect is also described, which indi-cates that hydrostatic force dominates anisotropic force inthe case ofF(Q,T)gravity theory, while the reverse situation occurs inF(R,T)gravity, i.e., anisotropic force dominates hydrostatic force. Moreover, using the concept of the exotic-ity parameter, we observed the presence of exotic matter ator near the throat in the case ofF(Q,T)gravity while mat-ter distribution is exotic near the throat but normal matter far from the throat inF(R,T)gravity case. In conclusion, precise wormhole models can be created with a potential NEC and DEC violation at the throat of both wormholes while havinga positive energy density, i.e.,rho>0