Narrow Results

In this paper, motivated by Ref. 31, we study the so-called new agegraphic Chaplygin gas model with viscosity. Concretely, we establish the correspondence between the interacting new agegraphic dark energy (NADE) and variable generalized Chaplygin gas (VGCG) models in non-flat universe on the basis of reviewing related contents for the NADE and VGCG models. Furthermore, we reconstruct the potential of the new agegraphic scalar field as well as the dynamics of the scalar field according to the evolution of the agegraphic dark energy. Finally, we generalize our study to the case of NADE with viscosity, which includes the case without viscosity (ν = 0) as a special case.

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 $w_P$, 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.

The dynamical behaviors of Brans–Dicke gravity with the interacting new agegraphic dark energy (NADE) model are studied in this paper. First of all, by considering the dark energy density ρ_de = 3n²Φη^-2, the evolutions of the equation of state and the deceleration parameter can be described in the framework of Friedmann–Robertson–Walker universe. Moreover, the field equations of the Brans–Dicke gravity can be cast to the form of the first law of thermodynamics with the so-called entropy production term . Furthermore, the generalized second law of thermodynamics can be given in nonflat Brans–Dicke gravity with the interacting NADE enclosed by the dynamical apparent horizon with Hawking temperature. Finally, when the interaction between NADE and dark matter is considered as a fluctuation around the thermal equilibrium, it can be written to a form of logarithmic correction, and the expression of the interaction term can be obtained.