论文标题
与K源相关的CMB功率谱
CMB power spectrum in the emergent universe with k-essence
论文作者
论文摘要
新兴的宇宙通过考虑宇宙源于稳定的爱因斯坦静态宇宙而不是奇异性来避免大爆炸奇点的方法。由于爱因斯坦静态宇宙在通货膨胀之前就存在，因此可能会在CMB功率谱中留下一些文物。在本文中，我们以一般相对论分析了爱因斯坦静态宇宙的稳定性条件，并针对标量和张量扰动。我们发现，可以通过构建标量势和状态参数方程来成功实现新兴宇宙。求解弯曲的Mukhanov-Sasaki方程，我们获得了原始功率谱的分析近似，然后描绘出了新兴宇宙的TT光谱。结果表明，原始功率谱和CMB TT光谱都在大尺度上被抑制。
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.
