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arXiv 1801.08402gr-qcastro-ph.CO
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一个五维宇宙学模型的动力系统分析

Dynamical System Analysis of a Five-Dimensional Cosmological Model

A. Savaş Arapoğlu, Ezgi Canay, A. Emrah Yükselci

摘要:

在动力系统分析的框架下研究了一个包含单一理想流体的五维宇宙模型。列出了系统的所有临界点及其稳定性,并明确显示了一些有代表性的相图。结果表明,在宇宙演化过程中,对于流体状态方程参数的一定范围,额外维的稳定化是可能的,三维空间的平坦性是可以观测到的。这里提出的模型可以被认为是一个简化的模型,用于研究早期宇宙中额外维度的可能影响。

英文摘要:

A five-dimensional cosmological model including a single perfect fluid is studied in the framework of dynamical system analysis. All the critical points of the system with their stability properties are listed and some representative phase diagrams are explicitly shown. It is found that the stabilization of the extra dimension is possible and the observed flatness of the three-dimensional space is provided for certain ranges of the equation of state parameter of the fluid during the evolution of the universe. The model suggested here can be considered as a simplified model for examining the possible effects of the extra dimensions in the early universe.

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