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Türkiye'deki Matematiksel Etkinlikler


31 Ekim 2023, 16:30


Çanakkale Onsekiz Mart Üniversitesi Matematik Topluluğu Seminerleri

Behaviors of Dark Energy Candidates in the Early Universe

Melike Esgin
Çanakkale Onsekiz Mart Üniversitesi, Türkiye

The universe, which was initially inhomogeneous anisotropic, changed and expanded over time and became a homogeneous isotropic. Dark energy has been shown to cause this expansion of the universe. This unseen dark energy, which covers the entire universe we live in, cannot be detected, and whose existence is understood indirectly, still maintains its existence as a mystery. The General Relativity theory, published by Einstein in 1916, is an important theory explaining the relationship between space-time geometry and matter. Although this theory is sufficient to explain the formation of the universe on a large scale, it is insufficient to explain the universe's expansion, dark energy, and dark matter. For this reason, alternative theories to this theory have emerged. Among the alternative theories, we can count theories such as Lyra theory, $f(G)$ theory, $f(T)$ theory, $f(R)$ theory, $f(R,T)$ theory. Harko et al. The $f(R,T)$ theory, put forward by in 2011, is an important theory that needs to be studied. In $f(R,T)$ theory, these equations are re-expressed with the help of $f(R,T)$ function by adding to the matter and geometry parts of Einstein field equations. The nature of dark energy, which causes the universe's expansion, is still not fully known, and studies on it are becoming increasingly important. In this study, the space-time geometry of the Dark Energy candidates was investigated for the inhomogeneous anisotropic Ruban universe model within the scope of $f(R,T)$ gravity theory. Hubble parameter was used for the exact solution of Einstein field equations, pressure and energy density solutions were found for the universe model, and scalar field and scalar potential solutions of the dark energy candidate were obtained. In addition, the solutions obtained were examined with the help of redshift observation data and various graphs.

Matematiksel Fizik Türkçe
D204 Nolu Derslik

comu 30.10.2023


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