Reconstruction of modified gravity with ghost dark energy models

TL;DR

This paper reconstructs $f(R)$ modified gravity models based on ghost and generalized ghost dark energy, showing they can mimic phantom or quintessence behaviors and transition between these regimes, aligning with recent observations.

Contribution

It introduces a method to reconstruct $f(R)$ gravity from ghost dark energy models, revealing their ability to exhibit dynamic dark energy behaviors.

Findings

Reconstructed $f(R)$ models can behave as phantom or quintessence.

Models can transition from quintessence to phantom regimes.

Results align with recent cosmological observations.

Abstract

In this work, we reconstruct the $f(R)$ modified gravity for different ghost and generalized ghost dark energy models in FRW flat universe, which describe the accelerated expansion of the universe. The equation of state of reconstructed $f(R)$ - gravity has been calculated. We show that the corresponding $f(R)$ gravity of ghost dark energy model can behave like phantom or quintessence. We also show that the equation of state of reconstructed $f(R)$ gravity for generalized ghost model can transit from quintessence regime to the phantom regime as indicated by recent observations.