Solutions of Ruban Universe in f(R,T) Gravitation Theory with Cosmological Constant (Λ)

2nd Hezarfen International Congress of Science, Mathematics and Engineerig, Antalya, Turkey, 25 - 26 September 2020, pp.37-45

Publication Type: Conference Paper / Full Text
City: Antalya
Country: Turkey
Page Numbers: pp.37-45
Çanakkale Onsekiz Mart University Affiliated: Yes

Abstract

In this study, inhomogeneous and anisotropic Ruban universe has been investigated in the presence of perfect fluid matter distributions in framework f(R,T) gravitation theory including cosmological constant Λ. The general solutions of the field equations have obtained by under the assumption of quadratic equation of state (EoS) for Ruban space-time. It can be say that inhomogeneous and anisotropic Ruban space-time indicates expanding or collapsing universe with deceleration for the investigated model because of the deceleration parameter has been obtained as positive ( ). The relationship of the obtained quantities with cosmic time has been evaluated and it has been observed that many quantities are inversely proportional to time. Then all solutions of the model have been transformed into Einstein universe. Also some kinematical quantities have been calculated. The physical and geometrical aspects of the model are discussed