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

Year 2019, , 163 - 175, 26.12.2019

Ahmed Al-haysah , Abdulvahid Hasmani

https://doi.org/10.33187/jmsm.435340

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

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