Correspondence of f(R,∇R)‎ Modified Gravity with Scalar Field Models

Abstract EN

This paper is devoted to study the scalar field dark energy models by taking its different aspects in the framework of f(R,∇R) gravity.

We consider flat FRW universe to construct the equation of state parameter governed by f(R,∇R) gravity.

The stability of the model is discussed with the help of squared speed of sound parameter.

It is found that models show quintessence behavior of the universe in stable as well as unstable modes.

We also develop the correspondence of f(R,∇R) model with some scalar field dark energy models like quintessence, tachyonic field, k-essence, dilaton, hessence, and DBI-essence.

The nature of scalar fields and corresponding scalar potentials is being analyzed in f(R,∇R) gravity graphically which show consistency with the present day observations about accelerated phenomenon.