Abstract
In this paper, we have investigated the exact solutions of a perfect fluid Bianchi type
-
I
cosmological model in the context of
f
(
R
,
T
)
=
R
+
λ
T
gravity, where
R
is Ricci scalar, and
T
is a trace of the energy-momentum tensor. We show that the generalized Friedman equation’s exact solution for the average scale factor
a
involves the hypergeometric function. This approach is novel, and it has not been previously carried out by other authors. Consequently, a set of three cosmological models, namely dust, radiation and dark energy, have been investigated. The physical and kinematical parameters in each model are discussed. It is shown that the modeled universe asymptotically becomes isotropic at late times.