Void and Density Walls Inhomogeneous Cosmic Web Cosmology

Abstract

An approach to cosmological modelling is presented that incorporates the inhomogeneous structure of the Cosmic Web, specifically focusing on the interplay between cosmic voids and density walls. We extend the standard homogeneous and isotropic cosmological model to account for the observed large-scale structure of the universe. By modifying the Friedmann equations to include inhomogeneity terms representing voids and walls, we develop a more realistic description of cosmic evolution. Our model demonstrates how the presence of these structures affects the overall expansion rate of the universe and the growth of perturbations. We find that accounting for this inhomogeneous distribution leads to significant deviations from the predictions of standard $\Lambda$CDM cosmology in the late-time universe. The Hubble and $\sigma_8$ structure growth tensions are addressed in the void-density wall model, leading to a resolution of these tensions. These results have important implications for the interpretation of cosmological observations when including the void and density wall Cosmic Web inhomogeneities.