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arXiv · 1211.7253

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

Abdul Jawad·Antonio Pasqua·Surajit Chattopadhyay
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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 $ω_{DE}$ 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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Abdul Jawad, Antonio Pasqua, Surajit Chattopadhyay. 2012-11-22. Correspondence between $f(G)$ Gravity and Holographic Dark Energy via Power-law Solution. https://doi.org/10.1007/s10509-012-1345-6

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