论文标题

广义熵和相应的全息暗能量模型

Generalized entropies and corresponding holographic dark energy models

论文作者

Moradpour, H., Ziaie, A. H., Zangeneh, M. Kord

论文摘要

使用Tsallis统计数据及其与Boltzmann熵的关系,达到了黑洞的Tsallis熵含量,结果与最近的一项研究完全一致(Phys。Lett。B794,24(2019))。此外,还获得了黑洞的卡尼亚达克斯熵,采用了卡尼亚达克人的统计数据及其与Tsallis的关系。黑洞的Sharma-Mittal和Rényi熵内容也可以通过与Tsallis熵的关系来解决。在其中依靠全息暗能假设和所获得的熵,引入了两个新的全息暗能模型,并且在背景中也有无压力的液体时,研究了它们对平坦FRW宇宙动力学的影响。在我们的设置中,明显的视野被认为是IR截止,并且宇宙流体之间没有任何相互作用。结果表明,所获得的宇宙学模型具有$ i $)的显着力量,可以描述从物质主导的时代到当前加速宇宙的宇宙演变,以及$ ii $)适合宇宙年龄的预测。

Using Tsallis statistics and its relation with Boltzmann entropy, the Tsallis entropy content of black holes is achieved, a result in full agreement with a recent study (Phys. Lett. B 794, 24 (2019)). In addition, employing Kaniadakis statistics and its relation with that of Tsallis, the Kaniadakis entropy of black holes is obtained. The Sharma-Mittal and Rényi entropy contents of black holes are also addressed by employing their relations with Tsallis entropy. Thereinafter, relying on the holographic dark energy hypothesis and the obtained entropies, two new holographic dark energy models are introduced and their implications on the dynamics of a flat FRW universe are studied when there is also a pressureless fluid in background. In our setup, the apparent horizon is considered as the IR cutoff, and there is not any mutual interaction between the cosmic fluids. The results indicate that the obtained cosmological models have $i$) notable powers to describe the cosmic evolution from the matter-dominated era to the current accelerating universe, and $ii$) suitable predictions for the universe age.

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