利用构型熵研究全息暗能量模型
A study of holographic dark energy models using configuration entropy
AI总结:
本文利用宇宙物质分布的构型熵研究 Li 与 Barrow 全息暗能量模型,发现熵率极小值可约束模型参数并探测量子引力效应。
摘要:
全息暗能量模型为暗能量提供了另一种描述。这些模型的动机源于全息原理在暗能量问题上的可能应用。我们利用宇宙中物质分布的构型熵,研究了单参数 Li 全息暗能量模型和双参数 Barrow 全息暗能量模型。构型熵变化率在某一特定尺度因子处表现出明显的极小值,该尺度因子对应于一个时期,此后暗能量在宇宙加速膨胀中发挥主导作用。我们发现,极小值的位置以及熵变化率在极小值处的大小对模型参数十分敏感。我们给出了这些量与每个模型参数之间的最佳拟合关系。我们提出,未来通过在多个红移处测量构型熵,可以利用这些关系约束全息暗能量模型的参数。此外,Barrow 全息暗能量模型基于 Barrow 熵,该熵修正了标准的 Bekenstein-Hawking 熵,以刻画量子引力效应导致的黑洞表面形变。我们发现,构型熵变化率极小值的位置和幅度对 Barrow 模型中的形变指数 $Δ$ 高度敏感。我们的研究表明,通过研究大尺度上物质分布的构型熵,或许可以探测到未来事件视界上量子引力效应的信号。
英文摘要:
The holographic dark energy models provide an alternative description of the dark energy. These models are motivated by the possible application of holographic principle to the dark energy problem. We study the one parameter Li holographic dark energy and the two parameter Barrow holographic dark energy models using configuration entropy of the matter distribution in the Universe. The configuration entropy rate exhibits a distinct minimum at a specific scale factor that corresponds to the epoch, beyond which the dark energy takes a driving role in the accelerated expansion of the Universe. We find that the location of the minimum and magnitude of the entropy rate at the minimum are sensitive to the parameters of the models. We find the best fit relations between these quantities and the parameters of each model. We propose that these relations can be used to constrain the parameters of the holographic dark energy models from the future measurements of the configuration entropy at multiple redshifts. Further, the Barrow holographic dark energy model is based on Barrow entropy which modifies the standard Bekenstein-Hawking entropy, to capture the deformation of the black-hole surface due to quantum gravitational effects. We find that the location and amplitude of the minimum of the configuration entropy rate is strongly sensitive to the deformation exponent $Δ$ in the Barrow model. Our study suggests that signatures of the quantum gravitational effects on the future event horizon may be detected from the study of the configuration entropy of the matter distribution on large-scales.
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