Noncommutative inspired wormholes admitting conformal motion involving minimal coupling

In this paper, we explore the existence of wormhole solutions exhibiting spherical symmetry in a modified gravity namely [Formula: see text] theory by involving some aspects of noncommutative geometry. For this purpose, we consider the anisotropic matter contents along with the well-known Gaussian and Lorentizian distributions of string theory. For the sake of simplicity in analytic discussions, we take a specific form of [Formula: see text] function given by [Formula: see text]. For both these noncommutative distributions, we get exact solutions in terms of exponential and hypergeometric functions. By taking some suitable choice of free parameters, we investigate different interesting aspects of these wormhole solutions graphically. We also explored the stability of these wormhole models using equilibrium condition. It can be concluded that the obtained solutions are stable and physically viable satisfying the wormhole existence criteria. Lastly, we discuss the constraints for positivity of the active gravitational mass for both these distributions.

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