Exact solution with dust and shell-crossings for LTB inhomogeneous cosmological models

Abstract

We describe the solution of the Lemaitre-Tolman-Bondi (LTB) inhomogeneous cosmological models for a spherically symmetric with dust and an interaction term modeled as anisotropic pressure is also studied and a differential equation governing the time evolution is derived. The field equations are fully integrated for all parameter subcases and compared with analogous subcases of LTB dust solutions of general relativity (GR).