(R2164) The Nature of the Big Bang Singularity in Inhomogeneous Szekeres Cosmological Frameworks

Authors

Ahmed M. Al-Haysah, Albaydha University, Albaydha, YemenFollow
Abdul-Majeed Al-izeri, University Clermont AuvergneFollow

Abstract

Without killing vector fields, the Szekeres metric is an explicit example of an anisotropic and inhomogeneous solution to the Einstein equations. The inhomogeneous Szekeres cosmological models (ISCM) within the Big Bang singularity (BBS) are obtained. This indicates that the Szekeres solution represents a more general class of exact solutions. It is known to exhibit axial symmetry. We investigate a Big Bang theory of the cosmos, which unexpectedly predicts that the universe started at the so-called BBS a finite length of time ago. A growing number of astrophysical researchers are using inhomogeneous extensions of the Friedmann-Lemaitre-Robertson-Walker (FLRW) solution and, by extension, Lemaitre-Tolman-Bondi (LTB) solution to investigate cosmic events. In this particular scenario, the Scwarzschild-Kruskal-Szekeres metrics, dust Robertson Walker, and LTB models with zero pressure are all contained in the Szekeres metric. In this paper, we first provide the Szekeres model solutions, and then we expand on recent discussions on the BBS in anisotropic and inhomogeneous Szekeres cosmological models. The BBS for the Szekeres inhomogeneous model and some new solutions are presented.

Recommended Citation

Al-Haysah, Ahmed M. and Al-izeri, Abdul-Majeed (2025). (R2164) The Nature of the Big Bang Singularity in Inhomogeneous Szekeres Cosmological Frameworks, Applications and Applied Mathematics: An International Journal (AAM), Vol. 20, Iss. 2, Article 15.
Available at: https://digitalcommons.pvamu.edu/aam/vol20/iss2/15