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arXiv 1104.2833astro-ph.CO
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星系团的形态学:一个与宇宙学模型无关的宇宙距离-对偶关系检验

Morphology of Galaxy Clusters: A Cosmological Model-Independent Test of the Cosmic Distance-Duality Relation

Xiao-Lei Meng, Tong-Jie Zhang, Hu Zhan, Xin Wang

摘要:

为了比较星系团的不同形态模型,我们采用两种新的方法对距离-对偶关系进行了与宇宙学模型无关的检验。光度距离来自Union 2对Ia型超新星的汇编。角直径距离由两个集群模型(De Filippis等人和Bonamente等人)给出。我们的方法的优点是它可以减少统计误差。在团簇模型的形态假设方面,主要对椭圆形$β$ -模型和球形$β$ -模型进行了比较。根据角径距离的不同简化方法,将球形$β$模型分为保守球形$β$模型和修正球形$β$模型。我们的结果表明,DD关系是一致的椭圆$β$ -模型在$1σ$置信水平(CL)的两种方法,而对于几乎所有的球形$β$ -模型参数化,DD关系只能容纳在$3σ$ CL,特别是对于保守的球形$β$ -模型。为了最大限度地减少系统的不确定性,我们还将测试应用于重叠样本,即由De Filippis等人和Bonamente等人建模的同一组聚类。研究发现,DD关系在$1σ$ CL下与椭圆模型的重叠样本相容,但对于大多数参数化,DD关系甚至在$3σ$ CL下都不能与两个球形$β$模型中的任何一个相容.因此,如果DD关系在宇宙学观测中成立的话,那么与球形$β$模型相比,标记三轴椭球模型是描述星系团结构的更好的几何假设。

英文摘要:

Aiming at comparing different morphological models of galaxy clusters, we use two new methods to make a cosmological model-independent test of the distance-duality (DD) relation. The luminosity distances come from Union2 compilation of Supernovae Type Ia. The angular diameter distances are given by two cluster models (De Filippis et al. and Bonamente et al.). The advantage of our methods is that it can reduce statistical errors. Concerning the morphological hypotheses for cluster models, it is mainly focused on the comparison between elliptical $β$-model and spherical $β$-model. The spherical $β$-model is divided into two groups in terms of different reduction methods of angular diameter distances, i.e. conservative spherical $β$-model and corrected spherical $β$-model. Our results show that the DD relation is consistent with the elliptical $β$-model at $1σ$ confidence level (CL) for both methods, whereas for almost all spherical $β$-model parameterizations, the DD relation can only be accommodated at $3σ$ CL, particularly for the conservative spherical $β$-model. In order to minimize systematic uncertainties, we also apply the test to the overlap sample, i.e. the same set of clusters modeled by both De Filippis et al. and Bonamente et al.. It is found that the DD relation is compatible with the elliptically modeled overlap sample at $1σ$ CL, however for most of the parameterizations, the DD relation can not be accommodated even at $3σ$ CL for any of the two spherical $β$-models. Therefore it is reasonable that the marked triaxial ellipsoidal model is a better geometrical hypothesis describing the structure of the galaxy cluster compared with the spherical $β$-model if the DD relation is valid in cosmological observations.

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