Correspondence between $f(G)$ Gravity and Holographic Dark Energy via Power-law Solution

Abstract

In this paper, we discuss cosmological application of holographic Dark Energy (HDE) in the framework of $f(G)$ modified gravity. For this purpose, we construct $f(G)$ model with the inclusion of HDE and a well-known power law form of the scale factor $a(t)$. The reconstructed $f(G)$ is found to satisfy a sufficient condition for a realistic modified gravity model. We find quintessence behavior of effective equation of state (EoS) parameter ${\omega }_{DE}$ through energy conditions in this context. Also, we observe that the squared speed of sound $v_s^2$ remains negative which shows the instability of HDE $f(G)$ model.

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• A study on the dependence of the dimensionless Brans-Dicke parameter on the scalar field and their time dependence
• Generalized second law of thermodynamics in QCD ghost f(G) gravity
• Reconstructing $f(T)$ modified gravity from ECHDE and ECNADE models
• Power Law and Logarithmic Ricci Dark Energy Models in Horava-Lifshitz Cosmology
• Study of Some Cosmological Parameters for Interacting New Holographic Dark Energy Model in f(T) Gravity
• Ricci-Cubic Holographic Dark Energy: Confronting Observations, Stability and the Cosmic Coincidence Problem