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Behavior of Holographic Ricci Dark Energy in Scalar Gauss-Bonnet Gravity for Different Choices of the Scale Factor

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Abstract

In this paper, we studied the cosmological application of the interacting Ricci Dark Energy (RDE) model in the framework of the scalar Gauss-Bonnet modified gravity model. We studied the properties of the reconstructed potential \(V\left (t \right )\), the Strong Energy Condition (SEC), the Weak Energy Condition (WEC) and the deceleration parameter q for three different models of scale factor, i.e. the emergent, the intermediate and the logamediate one. We obtained that \(V\left (t \right )\), for the emergent scenario, has a decreasing behavior, while, for the logamediate scenario, the potential start with an increasing behavior then, for later times, it shows a slowly decreasing behavior. Finally, for the intermediate scenario, the potential has an initial increasing behavior, then for a time of t≈1.2, it starts to decrease. We also found that both SEC and WEC are violated for all the three scale factors considered. Finally, studying the plots of q, we derived that an accelerated universe can be achieved for the three models of scale factor considered.

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Acknowledgements

Supportive comments from the reviewers are thankfully acknowledged by the authors. The second author acknowledges financial support from the Department of Science and Technology, Government of India under Project Grant No. SR/FTP/PS-167/2011.

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Authors and Affiliations

  1. Department of Physics, University of Trieste, Via Valerio, 2 34127, Trieste, Italy

    Antonio Pasqua

  2. Pailan College of Management and Technology, Bengal Pailan Park, Kolkata, 700 104, India

    Surajit Chattopadhyay

  3. Department of Theoretical Physics, Yerevan State University, 1 Alex Manookian, 0025, Yerevan, Armenia

    Martiros Khurshudyan

  4. Department of Physics, Damnhour University, Damnhour, Egypt

    Ayman A. Aly

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  1. Antonio Pasqua
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  2. Surajit Chattopadhyay
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Pasqua, A., Chattopadhyay, S., Khurshudyan, M. et al. Behavior of Holographic Ricci Dark Energy in Scalar Gauss-Bonnet Gravity for Different Choices of the Scale Factor. Int J Theor Phys 53, 2988–3013 (2014). https://doi.org/10.1007/s10773-014-2096-7

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