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Interacting Holographic Dark Energy at the Ricci scale and Dynamical system
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In this work, we consider homogeneous and isotropic FRW model of the universe, filled with interacting dark matter and dark energy. The dark matter is chosen as usual in the form of dust while dark energy is holographic in nature with IR cut off at the Ricci's length and it is in the form of a perfect fluid with variable equation of state. We have chosen the interaction term of the following two types: (i) a linear combination of the matter density of the two fluids, (ii) a product of the two matter densities. For both the choices the evolution equations are transformed to an autonomous system and the corresponding critical points are analyzed. Finally, for the first choice of the interaction term the evolution of the ratio of the energy densities has been studied from the point of view of the present coincidence problem.
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Power-Law and Logarithmic Entropy-Corrected Ricci Dark Energy in a Non-Flat FRW Universe with Viscous Interaction
Analytic expressions are derived, with algebra errors, for two entropy-corrected Ricci dark energy models and their formal correspondence to Chaplygin gas, Yang-Mills, and NLED scalar field models.
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