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. Moreover, we observe that the squared speed of sound \(v_{s}^{2}\) remains negative, which indicates the instability of HDE f(G) model.
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Acknowledgements
One of the authors (S.C.) sincerely acknowledges the facilities provided to him by the Inter-University Centre for Astronomy and Astrophysics (IUCAA), Pune, India, during his visit in November, 2012 under the Visitor Associateship Programme. Financial support from DST, Govt. of India under project SR/FTP/PS-167/2011 is duly acknowledged by S.C.
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Jawad, A., Pasqua, A. & Chattopadhyay, S. Correspondence between f(G) gravity and holographic dark energy via power-law solution. Astrophys Space Sci 344, 489–494 (2013). https://doi.org/10.1007/s10509-012-1345-6
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DOI: https://doi.org/10.1007/s10509-012-1345-6