In this work, we study the Rényi holographic dark energy (RHDE) model in a flat FRW Universe where the infrared cut-off is taken care by the Hubble horizon and also by taking three different parametrizations of the interaction term between the dark matter and the dark energy. Analyzing graphically, the behavior of some cosmological parameters in particular deceleration parameter, equation of state (EoS) parameter, energy density parameter and squared speed of sound, in the process of the cosmic evolution, is found to be leading towards the late-time accelerated expansion of the RHDE model. Also, we find the departure for the derived models from the standard ΛCDM model according to the evolution of jerk parameter. Moreover, we compare the model parameters by considering the observational Hubble data which consist of 51 points in the redshift range 0.07 < z < 2.36.

中文翻译：

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交互 Rényi 全息暗能量与交互项的参数化

在这项工作中，我们研究了平面 FRW 宇宙中的 Rényi 全息暗能量 (RHDE) 模型，其中红外截止由哈勃视界处理，并且还通过暗物质和暗物质之间相互作用项的三个不同参数化暗能量。通过图形分析，发现在宇宙演化过程中，一些宇宙学参数，特别是减速参数、状态方程（EoS）参数、能量密度参数和声速平方的行为，会导致后期加速RHDE模型的扩展。此外，我们发现派生模型与标准的偏离ΛCDM模型根据jerk参数的演变。此外，我们通过考虑由红移范围内的 51 个点组成的观测哈勃数据来比较模型参数0.07 < z < 2.36.