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arXiv 0812.3652astro-ph
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二阶宇宙学扰动和扰动的宇宙学

Cosmological Perturbations at Second Order and Recombination Perturbed

Leonardo Senatore, Svetlin Tassev, Matias Zaldarriaga

摘要:

我们导出了控制宇宙学扰动演化的完整的二阶方程组,其中包括一阶电子数密度扰动δ e的影响。我们详细分析了微扰对宇宙复合历史的影响,并指出对于小于1Mpc ^{-1}的同动波数,Peebles有效三能级原子的微扰版本足以获得δ e的演化.我们严格计算了Ly α逃逸几率的微扰,并在一个很好的近似下表明它受局域重子速度发散的控制。对于短于光子扩散尺度的模,我们发现δ_e在复合过程中相对于其他一阶量(在二阶时产生CMB各向异性)大约增加了5倍。利用这些结果,在一个配套文件中,我们计算重组过程中产生的CMB双谱。

英文摘要:

We derive the full set of second-order equations governing the evolution of cosmological perturbations, including the effects of the first-order electron number density perturbations, δ_e. We provide a detailed analysis of the perturbations to the recombination history of the universe and show that a perturbed version of the Peebles effective 3-level atom is sufficient for obtaining the evolution of δ_e for comoving wavenumbers smaller than 1Mpc^{-1}. We calculate rigorously the perturbations to the Lyαescape probability and show that to a good approximation it is governed by the local baryon velocity divergence. For modes shorter than the photon diffusion scale, we find that δ_e is enhanced during recombination by a factor of roughly 5 relative to other first-order quantities sourcing the CMB anisotropies at second order. Using these results, in a companion paper we calculate the CMB bispectrum generated during recombination.

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