Brans-Dicke宇宙学中Tsallis和Kaniadakis全息暗能量与复本质理论
Tsallis and Kaniadakis holographic dark energy with Complex Quintessence theory in Brans-Dicke cosmology
摘要：
本文在Brans-Dicke宇宙学框架下，考虑复形式的精粹模型，研究了全息暗能量的两种不同动力学结构：Tsallis和Kaniadakis.在每一个设置中，我们采用非相互作用和相互作用的情况下，并计算一些宇宙学参数，如状态方程$ω$。我们还讨论了$ ω- ω'$的行为。通过对势的修正和对标量场动力学的研究，我们考察了复杂的宇宙学的精髓。此外，考虑到精华场效应的两个部分，即，实的和复的，并考虑分数能量密度$ Ω_{D} $，我们检查它是否可以描述一个真实的宇宙或不。我们还规定分数能量密度不能在0和1之间任意。换句话说，它依赖于Tsallis、Kaniadakis和Brans-Dicke宇宙学自由参数。我们分别为每个模型创建分数能量密度与文中介绍的其他参数（如$δ$，$b^{2}$，$α$和$β$）之间的关系。最后，我们将模型的结果相互比较，并与最新的可观测数据进行比较。
英文摘要：
In this paper, by considering the complex form of the quintessence model, we study two different dynamic structures of holographic dark energy as Tsallis and Kaniadakis in the framework Brans-Dicke cosmology. In each setup, we employ non-interacting and interacting cases and calculate some cosmological parameters such as the equation of state $ω$. We also discuss the $ ω- ω'$ behavior. By modifying the potential and studying the scalar field dynamics, we examine the complex quintessence cosmology. In addition, considering the two parts of the quintessence field effects, i.e., real and complex, and considering the fractional energy density $ Ω_{D} $, we examine whether it can describe a real universe or not. We also specify that the fractional energy density can not be arbitrary between 0 and 1. In other words, it depends on the Tsallis, Kaniadakis, and Brans-Dicke cosmology free parameters. We create a relationship between the fractional energy density and other parameters introduced in the text such as $δ$, $b^{2}$, $α$ and $β$ for each model separately. Finally, we compare the obtained results of models to each other and the latest observable data.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
