Nonexistence of time-periodic solutions of the Dirac equation in non-extreme Kerr-Newman-AdS spacetime | |
Wang, Yaohua1; Zhang, Xiao2,3 | |
2018 | |
发表期刊 | SCIENCE CHINA-MATHEMATICS |
ISSN | 1674-7283 |
卷号 | 61期号:1页码:73-82 |
摘要 | In non-extreme Kerr-Newman-AdS spacetime, we prove that there is no nontrivial Dirac particle which is L-p for 0 < p <= 4/3 with arbitrary eigenvalue lambda, and for 4/3 <= p <= 4/3-2q, 0 < q < 3/2 with eigenvalue vertical bar lambda vertical bar > vertical bar Q vertical bar + q kappa, outside and away from the event horizon. By taking q = 1/2, we show that there is no normalizable massive Dirac particle with mass greater than vertical bar Q vertical bar + kappa/2 outside and away from the event horizon in non-extreme Kerr-Newman-AdS spacetime, and they must either disappear into the black hole or escape to infinity, and this recovers the same result of Belgiorno and Cacciatori in the case of Q = 0 obtained by using spectral methods. lFurthermore, we prove that any Dirac particle with eigenvalue vertical bar lambda vertical bar < kappa/2 must be L-2 outside and away from the event horizon. |
关键词 | Dirac equation Kerr-Newman-AdS spacetime eigenvalues |
DOI | 10.1007/s11425-015-9001-2 |
语种 | 英语 |
资助项目 | National Natural Science Foundation of China[11171328] ; National Natural Science Foundation of China[11571345] ; National Natural Science Foundation of China[11401168] ; Project of Mathematics and Interdisciplinary Sciences of Chinese Academy of Sciences |
WOS研究方向 | Mathematics |
WOS类目 | Mathematics, Applied ; Mathematics |
WOS记录号 | WOS:000419864100004 |
出版者 | SCIENCE PRESS |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/29347 |
专题 | 数学所 |
通讯作者 | Zhang, Xiao |
作者单位 | 1.Henan Univ, Sch Math & Stat, Kaifeng 475004, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100190, Peoples R China 3.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100190, Peoples R China |
推荐引用方式 GB/T 7714 | Wang, Yaohua,Zhang, Xiao. Nonexistence of time-periodic solutions of the Dirac equation in non-extreme Kerr-Newman-AdS spacetime[J]. SCIENCE CHINA-MATHEMATICS,2018,61(1):73-82. |
APA | Wang, Yaohua,&Zhang, Xiao.(2018).Nonexistence of time-periodic solutions of the Dirac equation in non-extreme Kerr-Newman-AdS spacetime.SCIENCE CHINA-MATHEMATICS,61(1),73-82. |
MLA | Wang, Yaohua,et al."Nonexistence of time-periodic solutions of the Dirac equation in non-extreme Kerr-Newman-AdS spacetime".SCIENCE CHINA-MATHEMATICS 61.1(2018):73-82. |
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