Noncommutative wormhole solutions in modified f (R) theory of gravity

The aim of this manuscript is to discuss the wormhole geometry in f(R) theory of gravity, where R represents the Ricci scalar. For our current work, we consider the spherically symmetric static spacetime with an anisotropic fluid source to discuss the wormhole solutions. We further discuss the existence of wormholes by using two well-known distributions like Gaussian and Lorentzian non-commutative geometry. The stability of wormhole geometry has been discussed through the Tolman-Oppenheimer-Volkoff equation and observed that our wormhole solutions are stable. Furthermore, we analyse the anisotropic parameter to examine the behaviour of the wormhole. It can be observed through the graphical analysis that null energy conditions (NEC) are not satisfied for these distributions. The violation of NEC indicates the existence of dark matter and dark energy, which is the validation of Gaussian and Lorentzian non-commutative wormholes exist in the modified f(R) theory of gravity.