Abstract
In this paper, we have derived a spatially flat homogeneous and isotropic cosmological model in f(R,T^phi ) 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 f(R,T^phi ) by requiring the conservation of energy–momentum tensor of the scalar field. The behavior of the reconstructed f(R,T^phi ) 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.
Highlights
The fine-tuning and coincidence problems [21] of the ΛCDM model have led to a search for dynamical dark energy’ (DE) models [22,23,24]
We investigate the features of a reconstructed form of f (R, T φ) gravity by considering a flat potential and a massless scalar field model
We have studied modified f (R, T φ) gravity with a minimally coupled scalar field with self interacting potential in a flat FRW model
Summary
The fine-tuning and coincidence problems [21] of the ΛCDM model have led to a search for dynamical DE models [22,23,24]. An interesting problem is to search out the form of f (R, T ) for which the standard continuity and Klein–Gordon equations hold This issue has been undertaken firstly by Chakraborty [65] who has shown that a part of an arbitrary function of f (R, T ) theory can be determined by taking into account conservation of the stress-energy tensor. We reconstruct the f (R, T φ) = R + 2 f (T φ) gravity model in scalar field cosmology with a self interacting scalar potential in the framework of a flat FRW space-time; here T φ refers to the trace of the energy–momentum tensor of the scalar field. We investigate the features of a reconstructed form of f (R, T φ) gravity by considering a flat potential and a massless scalar field model. In what follows, we consider a flat potential model and a massless scalar field model
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