论文标题
在空间封闭的新兴宇宙中，原始功率光谱的分析近似
Analytical approximations for primordial power spectra in a spatially closed emergent universe
论文作者
论文摘要
提出了新兴的宇宙场景来解决大爆炸奇点，暗示宇宙起源于爱因斯坦的静态状态，然后演变为随后的通货膨胀时代。因此，找到爱因斯坦静态存在的遗物成为至关重要的工作。在本文中，我们得出了原始功率谱的分析近似，并分析了空间封闭的新兴宇宙的CMB TT-Spectra。在分析了新兴宇宙场景的CMB TT光谱之后，我们发现，爱因斯坦静态状态产生的CMB TT-Spectra随后是超声波通货膨胀时期（方法i），以及通过量表的特殊演变，以及在出现的情况下的特殊演变，均为$ a = a_ = a_ = a_ = a_ = a_ {$ a {$ a {$ a {$ a { $ l <30 $，它们的光谱几乎相同。此外，通过将新兴宇宙场景的光谱与封闭宇宙中超声通货膨胀模型的光谱与超声滚动通货膨胀模型的光谱进行比较，我们发现，新兴宇宙的CMB TT光谱与通货膨胀模型之一，带有特殊情况$η_T=η_{max} $的通货膨胀模型。
The emergent universe scenario was proposed to solve the big bang singularity by suggesting that the universe originates from an Einstein static state and then evolves into a subsequently inflationary era. Thus, to find the relic of the existence of the Einstein static state becomes a crucial work. In this paper, we derive analytical approximation of the primordial power spectra and analyze the CMB TT-spectra for the spatially closed emergent universe. After analyzing the CMB TT-spectrum of the emergent universe scenario, we find that both the CMB TT-spectra produced by the Einstein static state followed by the ultraslow-roll inflationary epoch (method I) and by a special evolution of the scale factor in the emergent scenario as $a=a_{0}+A e^{H_{0}t}$(method II) are suppressed at $l<30$, and their spectra are nearly identical. Additionally, by comparing the spectra of the emergent universe scenario with the ones of the ultraslow-roll inflationary model in the closed universe, we find that the CMB TT-spectrum of the emergent universe is similar to the one of the inflationary model with the special case $η_t = η_{max}$.
