Study of traversable wormhole solutions via Karmarkar condition in f(R,ϕ,X) theory of gravity

The present manuscript examines the traversable wormhole solutions in f ( R , ϕ , X ) theory of gravity, where R denotes the Ricci scalar, ϕ represents the scalar potential, and X is the kinetic term. To do our work, we develop a shape function by applying the Karmarkar condition. Our suggested shape function combines two asymptotically flat areas, demonstrating the presence of a Morris–Thorne traversable wormhole. We analyze the validity of our proposed shape function with the help of graphical representations. For our current investigation, we choose three appropriate f ( R , ϕ , X ) modified gravity models and investigate the wormhole geometry. It can be observed through graphical analysis that energy conditions especially null energy conditions are not satisfied. The violation of energy conditions indicates the existence of exotic matter, which is the validation of wormholes in f ( R , ϕ , X ) theory of gravity.