Resembling holographic dark energy with f(R)gravity as scalar field and ghost dark energy with tachyon scalar fields

Abstract

In this article,the dynamics and potential of two different scalar field models is presented in a at Friedmann-Lemaitre-Robertson-Walker(FLRW) universe. One of those models is obtained from the corresponding relation between holographic energy density (HED) with energy density of the corresponding scalar field of f(R) gravity,and other models is achieved from connection between the ghost energy density (GDE) with energy density of the tachyon field model. Also, a f(R) model according to the the HDE model is calculated then stability,anti -gravity and viable conditions on it are investigated.