Nonexistence of time-periodic solutions of the Dirac equation in non-extreme Kerr-Newman-AdS spacetime | |
Wang, Yaohua1; Zhang, Xiao2,3 | |
2018 | |
Source Publication | SCIENCE CHINA-MATHEMATICS |
ISSN | 1674-7283 |
Volume | 61Issue:1Pages:73-82 |
Abstract | 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. |
Keyword | Dirac equation Kerr-Newman-AdS spacetime eigenvalues |
DOI | 10.1007/s11425-015-9001-2 |
Language | 英语 |
Funding Project | 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 Research Area | Mathematics |
WOS Subject | Mathematics, Applied ; Mathematics |
WOS ID | WOS:000419864100004 |
Publisher | SCIENCE PRESS |
Citation statistics | |
Document Type | 期刊论文 |
Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/29347 |
Collection | 数学所 |
Affiliation | 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 |
Recommended Citation 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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