A New Way to Construct Wormholes in Modified Gravity

The Einstein field equations allow simple and interesting solutions for topological passage through hypothetical tunnels connecting two asymptotically flat portions of the same universe or two asymptotically flat universes. The solution would act as a shortcut passage between two distant regions of space-time. They can be used for constructing a time machine, for which a stable traversable WH is required. In the present article we propose a new hybrid shape function for wormhole (WH)s in the modified gravity. The proposed shape function satisfied the conditions of WH geometry. The geometrical behavior of WH solutions is discussed in both anisotropic and isotropic cases respectively. Also, the stability of this model is obtained by determining the equilibrium condition. The radial null energy condition and weak energy condition are validated in the proposed shape function indicating the absence of exotic matter in modified gravity. The existence of a physically acceptable WH is possible by using the newly proposed shape function in the framework of modified gravity theories. Future work needs to focus on how far this shape function supports the observational consequence of the WH geometry.