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

This work deals with the newly approached extended f(P) cubic gravity in a cosmological background where P denotes the cubic gravity. Here, we peruse the cosmological nature of the different types of dark energy candidates in the framework of f(P) gravity. Next, we study the reconstruction scenario of f(P) 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 f(P) in the context of these dark energy candidates. By the trajectories of the EoS parameter wP, 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.

Automated summary

This study investigates the newly approached extended f(P) cubic gravity in a cosmological background. Different types of dark energy candidates are examined and their cosmological nature is analyzed. Reconstructions of f(P) gravity models are studied based on various dark energy candidates, and their trajectories and stability conditions are analyzed.