INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, vol.19, 2022 (SCI-Expanded)
This paper encompassed various physically realistic models of static and spherically symmetric wormholes in extended f(R) gravitational framework by incorporating the features of non-compact matter density distribution of non-commutative geometry. For this assessment, we formulated the f(R) field equations and obtained their exact analytical solutions in presence of cosmologically well-consistent power law type f(R)=aR(n) corresponding to distinct values of the parameter n. We conducted the physical adequacy of such proposed solutions through the graphical manifestation for the necessary existence of wormhole structures. Moreover, we revisited our field equations with a feasible choice of shape function together with reconstructed form of F(R) to provide an again authentication to the existence of wormholes structures. These all implications vigorously depicted that our discussed models are able to expect the required wormhole structures.