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arXiv 2007.13165gr-qcastro-ph.CO
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宇宙在暴胀时期的演化

Evolution of the universe during the inflationary epoch

Gabriel German

摘要:

我们经常在文献中发现,在物质、辐射或宇宙学常数占主导地位的时期,简单宇宙学模型的弗里德曼方程和流体方程的解。然而,对于由标量场的势能支配的暴胀时代,似乎没有任何解,这也许是因为我们还没有一个强烈支持的暴胀模型;当然,有一些动机很好的模型适合这些数据。本文的目的是在慢卷近似下详细研究宇宙在暴胀过程中的演化。以Starobinsky模型为例,我们显示的时间演化的标量场$ϕ(t)$,比例因子$a(t)$,哈勃函数$H(t)$,状态方程参数$ω(t)$和加速的比例因子$\ddot{a}(t)$等感兴趣的量的精确解。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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