A study on existence of Wormhole in Lemaitre-Tolman-Bondi model

An investigation has been done for possible existence of evolving wormhole (WH) solution in the background of inhomogeneous Lemaitre-Tolman-Bondi (LTB) space-time geometry. Using separable product form of the geometric (or area) radius, the shape function can be evaluated in terms of the functional part of the radial coordinate in the area radius. The conditions for a viable WH configuration have been examined.