Reconstructing extended f(P) cubic gravity from entropy-corrected holographic and new agegraphic dark energy models

Abstract

This work deals with the newly approached extended [Formula: see text] cubic gravity in a cosmological background where [Formula: see text] denotes the cubic gravity. Here, we peruse the cosmological nature of the different types of dark energy candidates in the framework of [Formula: see text] gravity. Next, we study the reconstruction scenario of [Formula: see text] gravity model according to ordinary holographic dark energy, ordinary new agegraphic dark energy, entropy-corrected holographic dark energy in power-law and logarithmic versions and entropy-corrected new agegraphic dark energy in power-law and logarithmic versions with two classes of the scale factor. We derive different forms of the unknown function [Formula: see text] in the context of these dark energy candidates. By the trajectories of the EoS parameter [Formula: see text], all models give evidence of their candidature for the explanation of the phantom regime and also the quintessence regime in the late stage of the universe. Also, the stability condition ensures that our reconstructed models are classically stable.