$f(G)$引力与全息暗能量的幂律对应
Correspondence between $f(G)$ Gravity and Holographic Dark Energy via Power-law Solution
摘要：
本文在$f(G)$修正引力理论框架下讨论全息暗能量（HDE）的宇宙学应用。为此，我们构建了包含HDE和公知的幂律形式的比例因子$a(t)$的$f(G)$模型。重建的$f(G)$被发现，以满足一个现实的修改重力模型的充分条件。在此背景下，我们通过能量条件发现了有效状态方程参数$ω_{DE}$的本质行为。另外，我们还观察到$v_s^2$的平方声速仍然为负值，这表明了HDE $f(G)$模型的不稳定性.
英文摘要：
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 $ω_{DE}$ 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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