EXACT SOLUTION WITH DUST AND SHELL-CROSSINGS FOR LTB INHOMOGENEOUS COSMOLOGICAL MODELS

GENERALIZATION OF NON-COMMUTING GRAPH OF A FINITE GROUP

A. M. Al-Haysah, A. H. Hasmani

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Abstract

We describe the solution of the Lemaitre-Tolman-Bondi (LTB) inhomoge- neous 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 sub- cases and compared with analogous subcases of LTB dust solutions of general relativity (GR).

Keywords

LTB cosmology model, Spherically symmetric space-time, Inhomogeneous universe, Exact solutions, Hubble parameter.