Correspondence between f(G) gravity and holographic dark energy via power-law solution |
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Authors: | Abdul Jawad Antonio Pasqua Surajit Chattopadhyay |
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Institution: | 1. Department of Mathematics, University of the Punjab, Quaid-e-Azam Campus, Lahore, 54590, Pakistan 2. Department of Physics, University of Trieste, Trieste, Italy 3. Pailan College of Management and Technology, Bengal Pailan Park, Kolkata, 700 104, India
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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. 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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