关于Cardassian幂律模型在非平直宇宙中粘滞效应对宇宙演化影响的研究

发布时间：2018-03-19 11:59

本文选题：粘滞效应　切入点：非平直宇宙　出处：《辽宁师范大学》2013年硕士论文　论文类型：学位论文

【摘要】：当前,人类已经进入了精确宇宙学时代。近些年来,通过对Ia型超新星的观测,以及对宇宙微波背景辐射和大尺度结构的精确数据分析表明宇宙正在加速膨胀。宇宙加速膨胀的发现,对现代物理理论提出了新的挑战,也对科学计算赋予了新的任务。如何解释宇宙的加速膨胀已成为目前的热门问题之一。人们已经提出许多理论和宇宙学模型来解释这一事实。因此,本文的主要工作是利用解析方法和数值分析研究了Cardassian宇宙学模型,即非平直宇宙中含有粘滞效应的Cardassian幂律模型。本文首先介绍了现代宇宙学的背景知识,包括基本理论、标准宇宙学模型以及甚早期宇宙的暴胀模型。此后,研究了粘滞效应对宇宙演化的影响,介绍了粘滞效应。它可以作为解释宇宙学疑难的候选者。因此,可以将其应用到现代宇宙学领域。我们主要将其应用在非平直宇宙中的Cardassian幂律模型中。在非平直宇宙的背景下,本文对含有粘滞效应的Cardassian幂律模型进行了更深入地研究,给出了该模型相关的宇宙学参数演化方程。从粘滞效应影响下的密度参数和态方程中,我们可以看出本文的讨论不失一般性。之后,本文对该模型进行了几何诊断,即Statefinder诊断,并描绘了r-s曲线的演化。通过分析我们发现,粘滞效应对Cardassian幂律模型的演化起到了重要作用,直接影响着宇宙的演化。
[Abstract]:At present, mankind has entered the era of precise cosmology. In recent years, through the observation of type Ia supernova, As well as accurate data analysis of microwave background radiation and large scale structure of the universe shows that the universe is accelerating expansion. The discovery of the accelerating expansion of the universe poses a new challenge to modern physical theory. New tasks have also been assigned to scientific computation. How to explain the accelerating expansion of the universe has become one of the hot issues. Many theories and cosmological models have been proposed to explain this fact. The main work of this paper is to study the Cardassian cosmological model by means of analytical method and numerical analysis, that is, the Cardassian power law model with viscous effect in the non-straight universe. This paper first introduces the background knowledge of modern cosmology, including basic theory, standard cosmological model and inflation model of the very early universe. Then, the influence of viscous effect on the evolution of the universe is studied. The viscous effect is introduced. It can be used as a candidate for explaining the difficult problems of cosmology. Therefore, it can be applied to the field of modern cosmology. We mainly apply it to the Cardassian power law model in the non-straight universe. In this paper, the Cardassian power law model with viscous effect is studied in depth, and the evolution equations of cosmological parameters are given. We can see that the discussion in this paper is not out of the ordinary. After that, the geometric diagnosis of the model, that is, the Statefinder diagnosis, and the evolution of the r-s curve are described. The viscous effect plays an important role in the evolution of the Cardassian power law model and directly affects the evolution of the universe.
【学位授予单位】：辽宁师范大学
【学位级别】：硕士
【学位授予年份】：2013
【分类号】：P159

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