Some Exact Bianchi Types Cosmological Models in f(R, T) Theory of Gravity

Authors : Ahmed ALHAYSAH, Abdulvahid HASMANİ

Pages : 163-175

Doi:10.33187/jmsm.435340

View : 20 | Download : 12

Publication Date : 2019-12-26

Article Type : Research Paper

Abstract :In this paper, we attempt to study spatially homogeneous Bianchi types-III, V,  VI$_0$ $\&$ VI$_h$  cosmological models in $finsert ignore into journalissuearticles values(R, T);$  theory of gravity. Here the models are obtained by assuming forms of the function $finsert ignore into journalissuearticles values(R, T);$ as  $finsert ignore into journalissuearticles values(R, T);= R + 2finsert ignore into journalissuearticles values(T);$ and $finsert ignore into journalissuearticles values(R, T); = f_1insert ignore into journalissuearticles values(R);+f_2insert ignore into journalissuearticles values(T);$. The exact solutions of Einstein`s field equations insert ignore into journalissuearticles values(EFEs); have been obtained for two different types of physically viable cosmologies using a special form of Hubble parameter insert ignore into journalissuearticles values(HP);. The physical and geometrical properties of these models have been discussed and expressions for the Ricci scalar $R$ in each case are obtained.
Keywords : Bianchi types III V VI 0 VI h, f R T, theory of gravity, Cosmic time, Cosmological constant, Exact solutions, Hubble parameter, Variational principle