距离对偶关系与星系团的温度分布
The distance duality relation and the temperature profile of Galaxy Clusters
摘要：
距离对偶关系$η=D_L(z)(1+z)^{-2}/D_A(z)=1$是Etherington互易定理所要求的一个精确结果，其中$D_A(z)$和$D_L(z)$是角距离和光度距离，它的正确性在宇宙学观测和模型约束中起着重要的作用。在本文中，我们通过假设$η$是一个常数或红移的函数来研究这种关系的一些结果。为了约束与$η$有关的参数，我们考虑了Chandra在两个不同温度剖面的假设下，在红移范围$0.3\sim 1.273$和温度范围$T_{\rm gas}> 4$ keV观测到的两组包含52个X射线发光星系团的星系团气体质量分数数据[1]。我们发现，恒定的温度分布是在相对较好的协议，没有违反的距离对偶关系的参数化的$η$，而一个与温度梯度（Vikhlinin等人。温度分布）似乎是不兼容的，即使在99% CL。
英文摘要：
The validity of distance duality relation, $η=D_L(z)(1+z)^{-2}/D_A(z)=1$, an exact result required by the Etherington reciprocity theorem, where $D_A(z)$ and $D_L(z)$ are the angular and luminosity distances, plays an essential part in cosmological observations and model constraints. In this paper, we investigate some consequences of such a relation by assuming $η$ a constant or a function of the redshift. In order to constrain the parameters concerning $η$, we consider two groups of cluster gas mass fraction data including 52 X-ray luminous galaxy clusters observed by Chandra in the redshift range $0.3\sim 1.273$ and temperature range $T_{\rm gas}> 4$ keV, under the assumptions of two different temperature profiles [1]. We find that the constant temperature profile is in relatively good agreement with no violation of the distance duality relation for both parameterizations of $η$, while the one with temperature gradient (the Vikhlinin et al. temperature profile) seems to be incompatible even at 99% CL.
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