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Power Law and Logarithmic Ricci Dark Energy Models in Hořava-Lifshitz Cosmology

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Abstract

In this work, we studied the Power Law and the Logarithmic Entropy Corrected versions of the Ricci Dark Energy (RDE) model in a spatially non-flat universe and in the framework of Hořava-Lifshitz cosmology. For the two cases containing non-interacting and interacting RDE and Dark Matter (DM), we obtained the exact differential equation that determines the evolutionary form of the RDE energy density. Moreover, we obtained the expressions of the deceleration parameter q and, using a parametrization of the equation of state (EoS) parameter ω D given by the relation ω D (z) = ω 0+ω 1 z, we derived the expressions of both ω 0 and ω 1. We interestingly found that the expression of ω 0 is the same for both non-interacting and interacting case. The expression of ω 1 for the interacting case has strong dependence from the interacting parameter b 2. The parameters derived in this work are done in small redshift approximation and for low redshift expansion of the EoS parameter.

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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 A.Manookian, Yerevan, Armenia

    Martiros Khurshudyan

  4. Eurasian International Center for Theoretical Physics and Department of General & Theoretical Physics, Eurasian National University, Astana, 010008, Kazakhstan

    Ratbay Myrzakulov

  5. A.I. Alikhanyan National Science Laboratory, Alikhanian Brothers St. and Department of Nuclear Physics, Yerevan State University, Yerevan, Armenia

    Margarit Hakobyan

  6. R&D Center of Semiconductor Devices & Nanotechnologies, Yerevan State University, Yerevan, Armenia

    Artashes Movsisyan

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  1. Antonio Pasqua
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  2. Surajit Chattopadhyay
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Correspondence to Antonio Pasqua.

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Pasqua, A., Chattopadhyay, S., Khurshudyan, M. et al. Power Law and Logarithmic Ricci Dark Energy Models in Hořava-Lifshitz Cosmology. Int J Theor Phys 54, 972–995 (2015). https://doi.org/10.1007/s10773-014-2291-6

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