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arXiv 1004.3089astro-ph.CO
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一般球对称宇宙中偏心CMB各向异性的解析公式

Analytic formulae for the off-center CMB anisotropy in a general spherically symmetric universe

Hideo Kodama, Keiki Saito, Akihiro Ishibashi

摘要:

局域空洞模型最近引起了相当大的关注,因为它可以解释目前宇宙的明显加速膨胀,而不会引入暗能量。然而,为了证明这个模型作为标准$Λ$ CDM宇宙学的替代方案,除了SNIa的距离-红移关系外,还应该用各种观测来检验这个模型,例如CMB温度各向异性。为此,我们推导出适用于任何球对称宇宙模型的CMB温度各向异性的偶极矩和四极矩的解析公式,并可用于严格比较这种模型与CMB温度各向异性观测结果的后果。我们检查,我们的公式是一致的数值研究先前所取得的CMB温度各向异性的空隙模型。我们还更新了约束条件的位置的观察员在空洞模型中应用我们的解析偶极子公式与最新的WMAP数据。

英文摘要:

The local void model has recently attracted considerable attention because it can explain the apparent accelerated expansion of the present universe without introducing dark energy. However, in order to justify this model as an alternative to the standard $Λ$CDM cosmology, the model should be tested by various observations, such as the CMB temperature anisotropy, besides the distance-redshift relation of SNIa. For this purpose, we derive analytic formulae for the dipole and quadrupole moments of the CMB temperature anisotropy that hold for any spherically symmetric universe model and can be used to compare consequences of such a model with observations of the CMB temperature anisotropy rigorously. We check that our formulae are consistent with the numerical studies previously made for the CMB temperature anisotropy in the void model. We also update the constraints concerning the location of the observers in the void model by applying our analytic dipole formula with the latest WMAP data.

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