| Kerr黑洞熵的内禀拓扑结构 |
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| 引用本文： | 颜继江,杨国宏,田立君.Kerr黑洞熵的内禀拓扑结构[J].上海大学学报(英文版),2005,9(4):326-331. |
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| 作者姓名： | 颜继江 杨国宏 田立君 |
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| 作者单位： | [1]Department of Physics, College of Sciences, Shanghai University, Shanghai 200444, P. R. China |
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| 基金项目： | Project supported by the National Natural Science Foundation of China （Grant No. 10447125）, Science Foundation of Shanghai Municipal Commission of Science and Technology （ Grant Nos. 04dz05905, 04ZR14059） |
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| 摘 要： | In the light of Ф-mapping method and the relationship between entropy and the Euler characteristic, the intrinsic topological structure of entropy of Kerr black holes is studied. From the Ganss-Bonnet-Chem theorem, it is shown that the entropy of Kerr black hole is determined by singularities of the Killing vector field of spacetime. These singularities naturally carry topological numbers, Hopf indices and Brouwer degrees, which can also be viewed as topological quantization of entropy of Kerr black holes. Specific results S = A/4 for non-extreme Kerr black holes and S = 0 for extreme ones are calculated independently by using the above-mentioned methods.
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| 关 键 词： | Kerr黑洞 拓扑结构 Euler特性 向量场 熵 |
| 文章编号： | 1007-6417（2005）04-0326-06 |
| 收稿时间： | 2003-12-17 |
| 修稿时间： | 2004-03-16 |
Intrinsic topological structure of entropy of Kerr black holes |
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| Yan?Ji-jiang,Yang?Guo-hong,Tian?Li-jun.Intrinsic topological structure of entropy of Kerr black holes[J].Journal of Shanghai University(English Edition),2005,9(4):326-331. |
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| Authors: | Yan Ji-jiang Yang Guo-hong Tian Li-jun |
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| Institution: | Department of Physics, College of Sciences, Shanghai University, Shanghai 200444, P. R. China |
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| Abstract: | In the light of φ-mapping method and the relationship between entropy and the Euler characteristic, the intrinsic topological structure of
entropy of Kerr black holes is studied. From the Gauss-Bonnet-Chem theorem, it is shown that the entropy of Kerr black hole
is determined by singularities of the Killing vector field of spacetime. These singularities naturally carry topological numbers,
Hopf indices and Brouwer degrees, which can also be viewed as topological quantization of entropy of Kerr black holes. Specific
results S=A/4 for non-extreme Kerr black holes and S=0 for extreme ones are calculated independently by using the bove-mentioned methods.
Project supported by the National Natural Science Foundation of China (Grant No. 10447125), Science Foundation of Shanghai
Municipal Commission of Science and Technology (Grant Nos. 04dz05905, 04ZR14059) |
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| Keywords: | entropy Kerr black hole Euler characteristic Killing vector field |
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