Extending Gibbons-Werner method to bound orbits of massive particles
文献类型：期刊论文
| 作者 | Huang, Yang1,2; Sun, Bing3; Cao, Zhoujian1,2,4 |
| 刊名 | PHYSICAL REVIEW D
 |
| 出版日期 | 2023 |
| 卷号 | 107期号:10页码:104046 |
| ISSN号 | 2470-0010 |
| 关键词 | STELLAR PROPER MOTIONS GRAVITATIONAL DEFLECTION HUBBLE CONSTANT RADIATION OBJECTS LIGHT ANGLE |
| DOI | 10.1103/PhysRevD.107.104046 |
| 英文摘要 | The Gibbons-Werner method for the gravitational deflection angle of unbound particles in static spherically symmetric spacetimes is based on the Jacobi metric and Gauss-Bonnet theorem. When it is extended to bound massive particles, there exist two difficulties: (a) Bound orbits may overlap with themselves azimuthally. To extend the definition of deflection angle for unbound orbits to bound orbits, we divide the bound orbit into multiple segments such that each segment does not overlap with itself azimuthally and can be regarded as an unbound orbit. (b) The infinite region constructed for unbound orbits in the Gibbons-Werner method is invalid for bound orbits, since the Jacobi metric of bound massive particles is singular at the far region. To construct a suitable region for bound orbits, we adopt the generalized Gibbons-Werner method proposed in our last work [Huang and Cao, Phys. Rev. D 106, 104043 (2022)], so that the unphysical region in Jacobi space is avoided. What is more, taking the Schwarzschild spacetime as an example, we show the details of the calculation and obtain an analytical expression of the deflection angle between two arbitrary points on the orbit. |
| 学科主题 | Astronomy & Astrophysics ; Physics |
| 语种 | 英语 |
| 源URL | [http://ir.itp.ac.cn/handle/311006/27978]  |
| 专题 | 理论物理研究所_理论物理所1978-2010年知识产出 |
| 作者单位 | 1.Hunan Univ Sci & Technol, Inst Phys, Xiangtan 411201, Hunan, Peoples R China 2.Beijing Normal Univ, Inst Frontiers Astron & Astrophys, Beijing 102206, Peoples R China 3.Beijing Normal Univ, Dept Astron, Beijing 100875, Peoples R China 4.Chinese Acad Sci, Inst Theoret Phys, CAS Key Lab Theoret Phys, Beijing 100190, Peoples R China 5.UCAS, Hangzhou Inst Adv Study, Sch Fundamental Phys & Math Sci, Hangzhou 310024, Peoples R China |
| 推荐引用方式 GB/T 7714 | Huang, Yang,Sun, Bing,Cao, Zhoujian. Extending Gibbons-Werner method to bound orbits of massive particles[J]. PHYSICAL REVIEW D,2023,107(10):104046. |
| APA | Huang, Yang,Sun, Bing,&Cao, Zhoujian.(2023).Extending Gibbons-Werner method to bound orbits of massive particles.PHYSICAL REVIEW D,107(10),104046. |
| MLA | Huang, Yang,et al."Extending Gibbons-Werner method to bound orbits of massive particles".PHYSICAL REVIEW D 107.10(2023):104046. |
入库方式： OAI收割
来源：理论物理研究所
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