Power-law entropy corrected holographic and new agegraphic f(R)-gravity models

TL;DR

This paper develops a correspondence between f(R)-gravity models and dark energy models with power-law entropy corrections, reconstructing the gravity functions and analyzing their ability to describe the universe's transition from quintessence to phantom regimes.

Contribution

It introduces a novel link between f(R)-gravity and entropy-corrected dark energy models, providing reconstructed models that align with recent cosmological observations.

Findings

f(R)-gravity models can describe the transition from quintessence to phantom regimes

Reconstructed f(R) functions match observational data

Models accommodate recent dark energy behavior

Abstract

Motivated by the recent works of us [1], we establish a correspondence between f(R)-gravity with the power-law entropy corrected holographic dark energy (PLECHDE) and new agegraphic dark energy (PLECNADE) models. We reconstruct corresponding f(R)-gravities and obtain the equation of state parameters. We show that the selected f(R)-gravity models can accommodate the transition from the quintessence state to the phantom regime as indicated by the recent observations.