Abstract In this paper, we have examined the R e ´ nyi holographic dark energy (RHDE) model in the framework of flat FRW universe by considering different values of non - extensive parameter δ. The deceleration parameter (q) of RHDE model justifies the recent phase transition of cosmos because of q changes sign from + v e to − v e i.e. deceleration to accelerated phase. We calculated and plotted the trajectories of evolution for statefinder (r, s) and (r, q) parameter-pair to understand the geometrical behaviour of the RHDE model in the framework of Planck 2018 results VI- LCDM observational data. The evolutionary trajectories of statefinder (r, s) approaches LCDM fixed point ( r = 1 , s = 0 ) and shows the Chaplygin gas behaviour of the RHDE model. In addition, the evolutionary trajectories of ω D − ω D ′ shows that the ωD crosses the phantom divide line ω D = − 1 .

中文翻译：

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热尼全息暗能量的状态探测器诊断

摘要 在本文中，我们通过考虑非广延参数δ的不同值，研究了平面FRW宇宙框架下的R e´nyi全息暗能量(RHDE)模型。RHDE 模型的减速参数 (q) 证明了宇宙最近的相变是正确的，因为 q 的符号从 + ve 变为 - ve，即减速到加速阶段。我们计算并绘制了 statefinder (r, s) 和 (r, q) 参数对的演化轨迹，以了解 RHDE 模型在 Planck 2018 结果 VI-LCDM 观测数据框架内的几何行为。statefinder (r, s) 的演化轨迹接近 LCDM 固定点 ( r = 1 , s = 0 ) 并显示了 RHDE 模型的 Chaplygin 气体行为。此外，