Traversable wormhole solutions admitting Karmarkar condition in Lyra manifold

The objective of this research work is to construct a wormhole shape function and study a traversable wormhole in the Lyra manifold. For this purpose, we use the well-known Karmarkar condition to find the shape function. The proposed shape function formulates wormhole geometry that connects two asymptotically flat surfaces in spacetime and satisfies all the essential conditions. We use different graphs to analyse the behaviour of the shape function and the anisotropic parameter. Further, we use the causality and Herrera-cracking techniques to examine the stability of the wormhole and find that all the necessary criteria for stability are satisfied. Therefore, a viable and stable traversable wormhole solution exists in the Lyra manifold.