Reconstructing f(R) modified gravity from ordinary and entropy-corrected versions of the holographic and new agegraphic dark energy models

TL;DR

This paper reconstructs f(R) modified gravity models based on holographic and agegraphic dark energy theories, including entropy corrections, to explain the universe's accelerated expansion and analyze their equation of state behaviors.

Contribution

It introduces a method to derive f(R) gravity models from both ordinary and entropy-corrected dark energy models, expanding the understanding of their cosmological implications.

Findings

f(R) models can mimic phantom or quintessence behaviors

Entropy-corrected models can transition from quintessence to phantom regimes

Models align with recent observational data on dark energy behavior

Abstract

Here, we peruse cosmological usage of the most promising candidates of dark energy in the framework of f(R) theory. We reconstruct the different f(R) modified gravity models in the spatially flat FRW universe according to the ordinary and entropy-corrected versions of the holographic and new agegraphic dark energy models, which describe accelerated expansion of the universe. We also obtain the equation of state parameter of the corresponding f(R)-gravity models. We conclude that the holographic and new agegraphic f(R)-gravity models can behave like phantom or quintessence models. Whereas the equation of state parameter of the entropy-corrected models can transit from quintessence state to phantom regime as indicated by recent observations.