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Critical phenomena in gravitational collapse of Husain-Martinez-Nunez scalar field

文献类型：期刊论文

作者Wang, Xiaobao1,2; Wu, Xiaoning3; Gao, Sijie1,3
刊名EUROPEAN PHYSICAL JOURNAL C
出版日期2019-10-01
卷号79期号:10页码:11
ISSN号1434-6044
DOI10.1140/epjc/s10052-019-7340-0
英文摘要We construct analytical models to study the critical phenomena in gravitational collapse of the Husain-Martinez-Nunez massless scalar field. We first use the cut-and-paste technique to match the conformally flat solution (c = 0) onto an outgoing Vaidya solution. To guarantee the continuity of the metric and the extrinsic curvature, we prove that the two solutions must be joined at a null hypersurface and the metric function in Vaidya spacetime must satisfy certain constraints. We find that the mass of the black hole in the resulting spacetime takes the form M proportional to ( p - p*)(gamma), where the critical exponent gamma is equal to 0.5. For the case c not equal 0, we show that the scalar field must be joined onto two pieces of Vaidya spacetimes to avoid a naked singularity. We also derive the power-law mass formula with gamma = 0.5. Compared with previous analytical modelswhich were constructed from a different scalar field with continuous self-similarity, we obtain the same value of gamma. However, we show that the solution with c not equal 0 is not self-similar. Therefore, we provide a rare example that a scalar field without self-similarity also possesses the features of critical collapse.
资助项目[11775022] ; [11575286] ; [11731001]
WOS研究方向Physics
语种英语
WOS记录号WOS:000490454500001
出版者SPRINGER
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/35808]  
专题数学所
通讯作者Wang, Xiaobao
作者单位1.Beijing Normal Univ, Dept Phys, Beijing 100875, Peoples R China
2.Beijing Informat Sci & Technol Univ, Coll Sci, Beijing 100192, Peoples R China
3.Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, POB 2734, Beijing 100080, Peoples R China
推荐引用方式
GB/T 7714		 Wang, Xiaobao,Wu, Xiaoning,Gao, Sijie. Critical phenomena in gravitational collapse of Husain-Martinez-Nunez scalar field[J]. EUROPEAN PHYSICAL JOURNAL C,2019,79(10):11.
APA Wang, Xiaobao,Wu, Xiaoning,&Gao, Sijie.(2019).Critical phenomena in gravitational collapse of Husain-Martinez-Nunez scalar field.EUROPEAN PHYSICAL JOURNAL C,79(10),11.
MLA Wang, Xiaobao,et al."Critical phenomena in gravitational collapse of Husain-Martinez-Nunez scalar field".EUROPEAN PHYSICAL JOURNAL C 79.10(2019):11.

入库方式： OAI收割

来源：数学与系统科学研究院

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