https://doi.org/10.1140/epjp/i2016-16018-6
Regular Article
Anisotropic Bianchi-III cosmological model in f (R, T) gravity
1
Department of Mathematics, Birla Institute of Technology and Science-Pilani, Hyderabad Campus, 500078, Hyderabad, India
2
Department of Mathematics, Utkal University, 751004, Bhubaneswar, India
* e-mail: sahoomaku@rediffmail.com
Received:
4
August
2015
Accepted:
4
December
2015
Published online:
28
January
2016
An anisotropic Bianchi type-III universe is investigated in the presence of a perfect fluid within the framework of gravity, where R is the Ricci scalar and T is the trace of the source of matter. Here we have considered the first two cases of the
model, i.e.
and
. We have shown that the field equations of
gravity are solvable for any arbitrary function of a scale factor. To get a physically realistic model of the universe, we have assumed a simple power-law form of a scale factor. The exact solutions of the field equations are obtained, which represent an expanding model of the universe which starts expanding with a big bang at
. The physical behaviours of the model are discussed.
© Società Italiana di Fisica and Springer-Verlag Berlin Heidelberg, 2016