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arXiv 1302.2706astro-ph.COgr-qchep-ph
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功率谱的方向依赖性及其对宇宙微波背景辐射的影响

Direction dependence of the power spectrum and its effect on the Cosmic Microwave Background Radiation

Pranati K. Rath, Tanmay Mudholkar, Pankaj Jain, Pavan K. Aluri, Sukanta Panda

摘要:

我们研究了几个各向异性暴胀模型和它们的影响,观察到违反统计各向同性的CMBR数据。在其中两个模型中,各向异性在膨胀阶段衰减得非常快。我们明确地表明,这些模型导致违反各向同性只有低l CMBR模式。我们的主要目的是将观测到的l= 2,3多极子的排列与理论模型相吻合。我们使用两种措施,基于功率张量,其中包含有关每个多极子的对齐信息,量化数据中的各向异性。其中一个措施使用的权力张量的本征值的分散。我们还定义了另一种措施,测试两个不同的多极之间的整体相关性。我们微扰计算这些措施的各向异性和固定的理论参数,使一个最好的适合l= 2,3多极。我们发现,一些研究的模型能够一致地解释所观察到的违反统计各向同性。

英文摘要:

We study several anisotropic inflationary models and their implications for the observed violation of statistical isotropy in the CMBR data. In two of these models the anisotropy decays very quickly during the inflationary phase of expansion. We explicitly show that these models lead to violation of isotropy only for low l CMBR modes. Our primary aim is to fit the observed alignment of l=2,3 multipoles to the theoretical models. We use two measures, based on the power tensor, which contains information about the alignment of each multipole, to quantify the anisotropy in data. One of the measures uses the dispersion in eigenvalues of the power tensor. We also define another measure which tests the overall correlation between two different multipoles. We perturbatively compute these measures of anisotropy and fix the theoretical parameters by making a best fit to l=2,3 multipoles. We show that some of the models studied are able to consistently explain the observed violation of statistical isotropy.

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