Wormholes models in f(R) gravity inspired by non-compact matter source

Abstract

This paper encompassed various physically realistic models of static and spherically symmetric wormholes in extended [Formula: see text] gravitational framework by incorporating the features of non-compact matter density distribution of non-commutative geometry. For this assessment, we formulated the [Formula: see text] field equations and obtained their exact analytical solutions in presence of cosmologically well-consistent power law type [Formula: see text] corresponding to distinct values of the parameter [Formula: see text]. 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 [Formula: see text] 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.