- Journal of Mathematical Sciences and Modelling
- Vol: 2 Issue: 3
- Some Exact Bianchi Types Cosmological Models in f(R, T) Theory of Gravity
Some Exact Bianchi Types Cosmological Models in f(R, T) Theory of Gravity
Authors : Ahmed Al-haysah, Abdulvahid Hasmani
Pages : 163-175
Doi:10.33187/jmsm.435340
View : 15 | Download : 6
Publication Date : 2019-12-26
Article Type : Research
Abstract :In this paper, we attempt to study spatially homogeneous Bianchi types-III, V, VI$_0$ $\&$ VI$_h$ cosmological models in $f(R, T)$ theory of gravity. Here the models are obtained by assuming forms of the function $f(R, T)$ as $f(R, T)= R + 2f(T)$ and $f(R, T) = f_1(R)+f_2(T)$. The exact solutions of Einstein's field equations (EFEs) have been obtained for two different types of physically viable cosmologies using a special form of Hubble parameter (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