| On the relation between ADM and Bondi energy-momenta Ⅲ-perturbed radiative spatial infinity |
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| 作者单位： | Wen-ling HUANG（Department Mathematik, Schwerpunkt GD, Universit(a)t Hamburg, Bundesstr. 55, D-20146 Hamburg, Germany） ;Xiao ZHANG（Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100080, China） ; |
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| 基金项目： | This work is partially supported by the National Natural Science Foundation of China (Grant Nos. 10231050,10421001), the National Key Basic Research Project of China (Grant No. 2006CB805905) and the Innovation Project of Chinese Academy of Sciences |
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| 摘 要： |
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| 收稿时间： | 2007-01-09 |
| 修稿时间： | 2007-02-12 |
On the relation between ADM and Bondi energymomenta III-perturbed radiative spatial infinity |
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| Wen-ling Huang,Xiao Zhang. On the relation between ADM and Bondi energymomenta III-perturbed radiative spatial infinity[J]. Science in China(Mathematics), 2007, 50(9): 1316-1324. DOI: 10.1007/s11425-007-0074-8 |
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| Authors: | Wen-ling Huang Xiao Zhang |
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| Affiliation: | 1.Department Mathematik, Schwerpunkt GD,Universit?t Hamburg,Hamburg,Germany;2.Institute of Mathematics,Academy of Mathematics and Systems Science, Chinese Academy of Sciences,Beijing,China |
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| Abstract: | In a vacuum spacetime equipped with the Bondi’s radiating metric which is asymptotically flat at spatial infinity including gravitational radiation (Condition D), we establish the relation between the ADM total energy-momentum and the Bondi energy-momentum for perturbed radiative spatial infinity. The perturbation is given by defining the “real” time as the sum of the retarded time, the Euclidean distance and certain function f. This work is partially supported by the National Natural Science Foundation of China (Grant Nos. 10231050, 10421001), the National Key Basic Research Project of China (Grant No. 2006CB805905) and the Innovation Project of Chinese Academy of Sciences |
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| Keywords: | gravitational radiation ADM energy-momentum Bondi energy-momentum |
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