Dynamical systems in dark energy models
Dynamical systems in dark energy models
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发表时间：
2014-10
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通讯作者：
N. Tamanini
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作者：
N. Tamanini
这篇博士论文致力于研究暗能量理论模型中出现的动力系统。为了理解观测到的宇宙加速的起源，物理学家们提出了大量基于不同基本理论的唯象解释。分析所有这些模型的背景宇宙学含义的最佳方法是采用动力系统技术。在这篇论文中，在回顾了动力系统理论和基本宇宙学的基础之后，几个动力系统，出现在暗能量模型中，从标量场到修正引力，将使用分析和数值方法进行研究。工作的组织，以提出尽可能多的细节，尽可能简单和众所周知的模型，同时概述了主要结果，并参考文献的研究较少的。这个选择的目的是为读者提供一个完整的概述和总结动力系统在暗能量的应用。
This PhD thesis is devoted to the study of dynamical systems appearing in theoretical models of dark energy. The quest for understanding the origin of the observed cosmic acceleration has led physicists to advance a large number of phenomenological explanations based on different fundamental theories. The best approach to analyse the background cosmological impli- cations of all these models consists in employing dynamical systems tech- niques. In this thesis, after reviewing elements of dynamical systems theory and basic cosmology, several dynamical systems, which arise in dark energy models ranging from scalar fields to modified gravity, will be studied using both analytical and numerical methods. The work is organised in order to present as many details as possible for the simpler and well known models, while outlining major results and referring to the literature for the less stud- ied ones. This choice aims at providing the reader with a complete overview and summary of dynamical systems in dark energy applications.