On the existence and stability of traversable wormhole solutions with novel shapefunctions in the framework of F (R ,Lm) gravity

In this work, we have explored wormhole solutions in F (R ,Lm) gravity by assuming Morris-Thorne wormhole metric and F (R ,Lm) = R 2 + (1 + γR )Lm where γ is free model parameter. We determined the wormhole solutions by utilizing two newly developed shape functions (SF) that satisfy all basic conditions for a wormhole’s physical validity. We also observe that the null energy condition (NEC) behaves negatively. Finally, for both models, we use the volume integral quantifier (V IQ ) and Tolman-Oppenheimer-Volkoff (TOV) equation to determine how much exotic matter is needed near the wormhole throat and the stability of the wormhole. The extensive detailed discussions of the matter components have been done via graphical analysis. The obtained wormhole (WH) geometries meet the physically acceptable conditions for a stable wormhole..