| 摘要: |
| 采用模型独立方法通过对比现今天文观测数据光度距离DL和角直径距离DA来验证距离对偶关系DL/(DA(1+z)2)=1.为了得到与角直径距离相同红移所对应的光度距离，对超新星数据采用2种方法进行处理：并方法和抹平法，同时对距离对偶关系进行4种参数化：η=1+ηoz，η=1+ηoz/(1+z)，η=1+ηoz/(1+z)2，η=1－ηoln(1+z)，通过对比光度距离与角直径距离，利用卡方统计对ηo进行限制，从而验证距离对偶关系的有效性.结果表明，距离对偶关系和目前的观测数据符合的较好，没有明显的偏差，并且所得结果与所选用的方法和参数化形式无关. |
| 关键词: 距离对偶关系 光度距离 角直径距离 |
| DOI： |
| 分类号:Ｏ412.1 |
| 基金项目:国家自然科学基金资助项目(11147011)；湖南省自然科学基金资助项目(12JJA001) |
|
| Testing the distance duality relation withthe astronomical observation data |
|
Chen Zhaoxia，Zhou Bingju
|
|
School of Physics, Hunan University of Science and Technology, Xiangtan 411201, China
|
| Abstract: |
| The cosmological model independent tests were performed for the distance-duality (DD) relation DL/(DA(1+z)2)=1 by combining the angular diameter distance DAwith the luminosity distanceDL. Two methods were employed, method A was binning the SNe Ia data and method B was smoothing method with the Gaussian smoothing function, to obtain DL associated with the redshits of the observed DA. Four parameterizations were adopted, separoctely they were η=1+ηoz，η=1+ηoz/(1+z)，η=1+ηoz/(1+z)2，η=1－ηoln(1+z). It found that DD relation was consistent with the present observational data, and the results were not sensitive to the methods and parameterizations. |
| Key words: istance-duality relation luminosity distance angular diameter distance |
