Nonexistence of time-periodic solutions of the Dirac equation in non-extreme Kerr-Newman-AdS spacetime

doi:10.1007/s11425-015-9001-2

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	Nonexistence of time-periodic solutions of the Dirac equation in non-extreme Kerr-Newman-AdS spacetime
	Wang, Yaohua 1; 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.