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arXiv 2109.09181gr-qcastro-ph.COhep-th
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Kaniadakis全息暗能量与宇宙学

Kaniadakis holographic dark energy and cosmology

Niki Drepanou, Andreas Lymperis, Emmanuel N. Saridakis, Kuralay Yesmakhanova

摘要:

我们构建了一个全息暗能量场景的Kaniadakis熵的基础上,这是一个广义的玻尔兹曼-吉布斯熵,产生于相对论统计理论,其特征在于由一个单一的参数$K$,它量化的偏离标准表达式,我们使用未来的事件视界作为红外截止。我们提取的微分方程,决定了有效的暗能量密度参数的演变,我们提供了相应的状态方程和减速参数的解析表达式。我们表明,宇宙表现出标准的热历史,与序列的物质和暗能量时代,而过渡到加速发生在$z\approx0.6$。关于暗能量状态方程参数,我们表明,它可以有一个丰富的行为,是精粹一样,幻影一样,或经历幻影鸿沟跨越过去或未来。最后,在遥远的未来,暗能量将完全占据主导地位,其状态方程的渐近值取决于两个模型参数的值。

英文摘要:

We construct a holographic dark energy scenario based on Kaniadakis entropy, which is a generalization of Boltzmann-Gibbs entropy that arises from relativistic statistical theory and is characterized by a single parameter $K$ which quantifies the deviations from standard expressions, and we use the future event horizon as the Infrared cutoff. We extract the differential equation that determines the evolution of the effective dark energy density parameter, and we provide analytical expressions for the corresponding equation-of-state and deceleration parameters. We show that the universe exhibits the standard thermal history, with the sequence of matter and dark-energy eras, while the transition to acceleration takes place at $z\approx0.6$. Concerning the dark-energy equation-of-state parameter we show that it can have a rich behavior, being quintessence-like, phantom-like, or experience the phantom-divide crossing in the past or in the future. Finally, in the far future dark energy dominates completely, and the asymptotic value of its equation of state depends on the values of the two model parameters.

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