Cosmological wormholes in an Inhomogeneous Spherically Symmetric Space Time

In this paper, we study a family of dynamical wormhole solutions in an inhomogeneous spherically symmetric space time by considering a specific radial dependent redshift function . Using a generalized Friedmann-Robertson-Walker spacetime, we derive analytical evolving wormhole geometries by assuming a particular equation of state for energy density and pressure profiles. We calculate these classes of solutions for zero separation constant and their scale factor. The rate of expansion of these evolving wormholes is determined only by the standard Friedmann equation in cosmology . We introduce exact asymptotically flat solutions that respect energy conditions at throat. Finally, we investigate the weak energy condition for these solutions with detail