Thin-shell wormhole under non-commutative geometry inspired Einstein–Gauss–Bonnet gravity

Abstract

Einstein–Gauss–Bonnet gravity is a generalization of the general relativity to higher dimensions in which the first- and second-order terms correspond to general relativity and Einstein–Gauss–Bonnet gravity, respectively. We construct a new class of five-dimensional (5D) thin-shell wormholes by the ‘Cut–Paste’ technique from black holes in Einstein–Gauss–Bonnet gravity inspired by non-commutative geometry starting with a static spherically symmetric, Gaussian mass distribution as a source and for this structural form of the thin-shell wormhole we have explored several salient features of the solution, viz., pressure–density profile, equation of state, the nature of wormhole, total amount of exotic matter content at the shell. We have also analyzed the linearized stability of the constructed wormhole. From our study we can assert that our model is found to be plausible with reference to the other model of thin-shell wormhole available in literature.