Critical phenomena in gravitational collapse of Husain-Martinez-Nunez scalar field | |
Wang, Xiaobao1,2; Wu, Xiaoning3; Gao, Sijie1,3 | |
刊名 | EUROPEAN PHYSICAL JOURNAL C |
2019-10-01 | |
卷号 | 79期号:10页码:11 |
ISSN号 | 1434-6044 |
DOI | 10.1140/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 |
出版者 | SPRINGER |
WOS记录号 | WOS:000490454500001 |
内容类型 | 期刊论文 |
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. |
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