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arXiv 2210.16166gr-qc
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CMB功率谱在具有k-essence的涌现宇宙中

CMB power spectrum in the emergent universe with k-essence

Qihong Huang, Kaituo Zhang, He Huang, Bing Xu, Feiquan Tu

AI总结:

本文研究具有k-essence的涌现宇宙,通过稳定性分析和Mukhanov-Sasaki方程求解,发现原初功率谱和CMB TT谱在大尺度上被抑制。

摘要:

涌现宇宙提供了一种可能的方法来避免大爆炸奇点,它认为宇宙起源于一个稳定的爱因斯坦静态宇宙,而不是奇点。由于爱因斯坦静态宇宙存在于暴胀之前,它可能在CMB功率谱中留下一些遗迹。在本文中,我们分析了在广义相对论中具有k-essence的爱因斯坦静态宇宙在标量和张量扰动下的稳定性条件。我们发现,通过构造一个标量势和一个状态方程参数,可以成功实现涌现宇宙。求解弯曲的Mukhanov-Sasaki方程,我们获得了原初功率谱的解析近似,然后描绘了涌现宇宙的TT谱。结果表明,原初功率谱和CMB TT谱在大尺度上都被抑制。

英文摘要:

The emergent universe provides a possible method to avoid the big bang singularity by considering that the universe stems from an stable Einstein static universe rather than the singularity. Since the Einstein static universe exists before inflation, it may leave some relics in the CMB power spectrum. In this paper, we analyze the stability condition for the Einstein static universe in general relativity with k-essence against both the scalar and tensor perturbations. And we find the emergent universe can be successfully realized by constructing a scalar potential and an equation of state parameter. Solving the curved Mukhanov-Sasaki equation, we obtain the analytical approximation for the primordial power spectrum, and then depict the TT-spectrum of the emergent universe. The results show that both the primordial power spectrum and CMB TT-spectrum are suppressed on large scales.

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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