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.

Anisotropic stellar structures in the theory of gravity with quintessence via embedding approach

“…They have also mentioned in their study that a good tetrad has no restrictions on the choice of the model of being linear or nonlinear, while the diagonal tetrad restricts the model to a linear one. The off-diagonal tetrad is a correct choice due to its boosted and rotated behavior [38]. Here we calibrate the field equations by using the off-diagonal tetrad matrix:…”

“…[36,37] it has been argued that the Palatini version of gravity produces a system of second-order field equations. While comparing to GR, it is found [38] that gravity shows an extra degree freedom under Lorentz transformation and hence always remains non-variant. Importantly, as gravity is invariant under Lorentz transformation, the selection of good or bad tetrads plays a defining role in this particular theory.…”

“…The fascinating part of gravity is that it gives second-order field equations, and it is structured with a generic Lagrangian quite dissimilar to the and several other theories of gravity [51,52]. As far as theoretical or observational cosmology is concerned, numerous researchers have effectively implemented gravity in their research [38,[53][54][55][56][57][58][59][60][61][62]. Deliduman and Yapiskan [63] as well as Wang [64] have employed gravity to work out the static and spherically symmetric exact solutions describing relativistic compact objects.…”

Dark Energy Star: Physical Constraints on the Bounds

“…Recently, many stable and viable models on physical characteristics of compact objects have been developed by using MCG EOS. [ 72–77 ]…”