Firstly , in order to make a theoretical preparation for tachyon cosmology and d - star , we briefly review the standard hot big bang cosmology with inflation 在这个模型中，快子场作为暴涨场，即由born - infeld标量场导致宇宙暴涨。
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Then , based on above review , we propose an analytical tachyon inflation model driven by scalar field with bom - infeld - type lagrangian . we find it ' s an analytical model if we choose an exponential potential . we compute it ' s power spectrum and find that it can explain the evolution of universe 如果将势选择为指数势，模型变成精确可解的，本文找到了一个精确解析的宇宙暴涨解并利用该解计算了cmb谱，发现这个解可以用来解释宇宙的演化。
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In this master dissertation , under the fundamental frame of general relativity , we study the tachyon inflation , d - stars in the spacetime with a nonzero cosmological constant and it ' s observable effects by using some modern mathematical methods such as differential equation and qualitative analysis 本文以广义相对论作为基本理论框架，使用微分方程及其定性理论，研究了宇宙演化和结构中的两个问题，其中包括了快子暴涨，非零宇宙常数时空中的d星以及它的种种可观测效应。
