On possible wormhole solutions supported by non-commutative geometry within [formula omitted] gravity.

Non-commutativity is a key feature of spacetime geometry. The current article explores the traversable wormhole solutions in the framework of f (R , ℒ m) gravity within non-commutative geometry. By using the Gaussian and Lorentzian distributions, we construct tideless wormholes for the nonlinear f (R , ℒ m) model f (R , ℒ m) = R 2 + ℒ m α . For both cases, we derive shape functions and discuss the required different properties with satisfying behavior. For the required wormhole properties, we develop some new constraints. The influence of the involved model parameter on energy conditions is analyzed graphically which provides a discussion about the nature of exotic matter. Further, we check the physical behavior regarding the stability of wormhole solutions through the TOV equation. An interesting feature regarding the stability of the obtained solutions via the speed of sound parameters within the scope of average pressure is discussed. Finally, we conclude our results. • The current article explores the traversable wormhole solutions in the framework of f (R , L m) gravity within non-commutative geometry. • We used the Gaussian and Lorentzian distributions to construct tideless wormholes for the nonlinear model f (R , L m) = R 2 + L m α . • The ECs are analyzed graphically using the model parameter which provides a discussion about the nature of exotic matter. • We checked the physical behavior regarding the stability of wormhole solutions through the TOV equation. [ABSTRACT FROM AUTHOR]