非平坦宇宙中微波背景各向异性的积分解
天体物理学
2009-06-16 v2
摘要
我们提出了一种高效的方法来计算非平坦宇宙中的 CMB 各向异性。首先我们推导了在一般罗伯逊-沃克宇宙中产生的由标量扰动产生的宇宙微波背景温度和偏振涨落的玻尔兹曼方程。随后我们应用积分方法来求解该方程，将温度和偏振各向异性表示为关于几何项和源项的时间积分。几何项可以用依赖于曲率的超球形 Bessel 函数表示，这些函数不能像平坦空间中那样预先计算。相反，我们直接求解其微分方程，以选定的多极值求解。 resulting computational time is comparable to the flat space case and improves over previous methods by 2-3 orders of magnitude. This allows one to compute highly accurate CMB temperature and polarization spectra, matter transfer functions and their CMB normalizations for any cosmological model, thereby avoiding the need to use various approximate fitting formulae that exist in the literature.
引用
@article{arxiv.astro-ph/9704265,
title = {Integral Solution for the Microwave Background Anisotropies in Non-fl at Universes},
author = {Matias Zaldarriaga and Uros Seljak and Edmund Bertschinger},
journal= {arXiv preprint arXiv:astro-ph/9704265},
year = {2009}
}
备注
29 pages, 2 figure, AAS LateX, minor revisions to match the accepted version, code available at http://arcturus.mit.edu:80/~matiasz/CMBFAST/cmbfast.html