| Approach to a Cauchy Problem in Stability Study of the Schwarzschild Black Hole |
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| 作者姓名： | 田贵花 王世坤 钟树泉 |
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| 作者单位： | [1]School of Science, Beijing University of Posts and Telecommunications, Beijing 100876 [2]Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100080 |
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| 基金项目： | Supported by the National Natural Science Foundations of China under Grant Nos 10475013, 10373003, and 10375087, the National Key Basic Research Programme of China under Grant No 2004CB318000. |
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| 摘 要： | Generally, the Schwarzschild black hole is proven to be stable by two different methods： the mode-decomposition method and the integral method. We show that the integral method can only apply to the initial data vanishing at both the horizon and the spatial infinity. It can not treat the initial data only vanishing at the spatial infinity. We give an example to show the misleading information caused by the use of tortoise coordinates in the perturbation equations. Subsequently, the perturbation equations in the Schwarzschild coordinates are shown to be insuftlcient for the stability study.
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| 关 键 词： | 黑洞 稳定性 宇宙线 干扰因素 |
| 收稿时间： | 2006-11-2 |
| 修稿时间： | 2006-11-02 |
Approach to a Cauchy Problem in Stability Study of the Schwarzschild Black Hole |
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| TIAN Gui-Hua,WANG Shi-Kun,ZHONG Shu-Quan.Approach to a Cauchy Problem in Stability Study of the Schwarzschild Black Hole[J].Chinese Physics Letters,2007,24(6):1475-1478. |
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| Authors: | TIAN Gui-Hua WANG Shi-Kun ZHONG Shu-Quan |
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| Institution: | School of Science, Beijing University of Posts and Telecommunications, Belting 100876 Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100080 |
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| Abstract: | Generally, the Schwarzschild black hole is proven to be stable by two different methods: the mode-decomposition method and the integral method. We show that the integral method can only apply to the initial data vanishing at both the horizon and the spatial infinity. It can not treat the initial data only vanishing at the spatial infinity. We give an example to show the misleading information caused by the use of tortoise coordinates in the perturbation equations. Subsequently, the perturbation equations in the Schwarzschild coordinates are shown to be insufficient for the stability study. |
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| Keywords: | 04 40 Dg 04 07 Bw 97 60 -s |
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