https://doi.org/10.1140/epjc/s10052-018-5913-y
Regular Article - Theoretical Physics
The 
gravity models with conservation of energy–momentum tensor
Department of Mathematical Sciences, University of Zululand, Private Bag X1001, Kwa-Dlangezwa, 3886, South Africa
* e-mail: singhv@unizulu.ac.za
** e-mail: gtrcosmo@gmail.com
Received:
1
December
2017
Accepted:
19
May
2018
Published online:
9
July
2018
In this paper, we have derived a spatially flat homogeneous and isotropic cosmological model in gravity with a scalar field. In addition to a minimally coupled scalar field with self interacting potential, we also have a contribution from the coupling of the geometry and the field. We have reconstructed a form of by requiring the conservation of energy–momentum tensor of the scalar field. The behavior of the reconstructed gravity is examined for a flat potential as well as a massless scalar field model. The evolution of the universe is studied via the deceleration and equation of state parameters. The promising feature of the model is the transition behavior of the universe from deceleration to the present acceleration.
© The Author(s), 2018
