Holographic connection of f(G) gravity through Barrow and a generalized version of holographic dark fluid

Abstract

In the context of f(G) modified gravity, we address the cosmic application of the most generalized form of holographic dark energy (The European Physical Journal C, 77, (2017): 1-8) in this study, as well as a specific instance of it in the form of Barrow holographic dark energy (Physical Review D, 102(12), p.123525). Holographic dark energy and a well-known power law form of the scale factor a(t) are added to the f(G) model in order to achieve this. It is observed that a sufficient criterion for a realistic modified gravity model is satisfied by the reconstructed f(G). The reconstruction models are also tested under the four energy situations.

Figures (12)

• Figure 1: Evolution of Barrow holographically reconstructed $f(G)$ with redshift for a range of values of $\Delta$. The corresponding expression for $f(G)$ is obtained in Eq. (\ref{['freconst']}). In this plot, we have used $C_1 = 1.5, ~C_2 = 1.3,$$~C_3=0.1,~\gamma=2, ~\mathbb{C}=0.8$.
• Figure 2: Evolution of reconstructed EoS parameter $w_G$ as obtained in Eq. (\ref{['wG']}).
• Figure 3: $\rho_G \ge 0$.
• Figure 4: $\rho_G+p_G \le 0$.
• Figure 5: $\rho_G-p_G \ge 0$