论文标题
通货膨胀时期期间宇宙的演变
Evolution of the universe during the inflationary epoch
论文作者
论文摘要
我们经常在弗里德曼（Friedmann）和流体方程的文献解决方案中找到简单的宇宙学模型，辐射或宇宙恒定统治时期。但是，由于我们还没有强烈偏爱的通货膨胀模型，因此，由于标量场的势能的支配，尚无解决方案。当然，有一个适合数据的动机模型。本文的目的是详细研究在慢速倾斜近似中通货膨胀期间宇宙的演变。以Starobinsky模型为例，我们显示了标量场$ ϕ（t）$，比例因子$ a（t）$，Hubble函数$ H（T）$，状态参数$ω（t）$的方程和比例因数$ \ ddot {a}（t）$的加速。
We often find in the literature solutions to the Friedmann and fluid equations for simple cosmological models during the matter, radiation or cosmological constant dominated epochs. However no solutions appear for the inflationary era dominated by the potential energy of a scalar field due, perhaps, to the fact that we do not have as yet a strongly favored model of inflation; there are, of course, very well motivated models which fit the data. The purpose of this article is to study with some detail the evolution of the Universe during inflation in the slow-roll approximation. Taking the Starobinsky model as an example, we display exact solutions for the time evolution of the scalar field $ϕ(t)$, scale factor $a(t)$, Hubble function $H(t)$, equation of state parameter $ω(t)$ and acceleration of the scale factor $\ddot{a}(t)$ among other quantities of interest.
