Existence and stability of circular orbits in general static and spherically symmetric spacetimes
文献类型：期刊论文
| 作者 | Liu, XH ; Pang, XK; Wang, YG; Yang, N; Wang YG(王耀光); Jia, JJ; Liu, JW; Mo, ZY
|
| 刊名 | GENERAL RELATIVITY AND GRAVITATION
 |
| 出版日期 | 2018 |
| 卷号 | 50期号:2页码:17 |
| 关键词 | Static spacetime Spherically symmetric spacetime Circular orbit Fixed point |
| ISSN号 | 0001-7701 |
| DOI | 10.1007/s10714-017-2337-1 |
| 文献子类 | Article |
| 英文摘要 | The existence and stability of circular orbits (CO) in static and spherically symmetric (SSS) spacetime are important because of their practical and potential usefulness. In this paper, using the fixed point method, we first prove a necessary and sufficient condition on the metric function for the existence of timelike COs in SSS spacetimes. After analyzing the asymptotic behavior of the metric, we then show that asymptotic flat SSS spacetime that corresponds to a negative Newtonian potential at large r will always allow the existence of CO. The stability of the CO in a general SSS spacetime is then studied using the Lyapunov exponent method. Two sufficient conditions on the (in) stability of the COs are obtained. For null geodesics, a sufficient condition on the metric function for the (in) stability of null CO is also obtained. We then illustrate one powerful application of these results by showing that three SSS spacetimes whose metric function is not completely known will allow the existence of timelike and/or null COs. We also used our results to assert the existence and (in) stabilities of a number of known SSS metrics. |
| 电子版国际标准刊号 | 1572-9532 |
| WOS关键词 | NO-HAIR THEOREM ; BLACK-HOLES |
| WOS研究方向 | Astronomy & Astrophysics ; Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:000424666800008 |
| 源URL | [http://ir.ihep.ac.cn/handle/311005/285620]  |
| 专题 | 高能物理研究所_实验物理中心 中国科学院高能物理研究所_中国散裂中子源 |
| 作者单位 | 中国科学院高能物理研究所 |
| 推荐引用方式 GB/T 7714 | Liu, XH,Pang, XK,Wang, YG,et al. Existence and stability of circular orbits in general static and spherically symmetric spacetimes[J]. GENERAL RELATIVITY AND GRAVITATION,2018,50(2):17. |
| APA | Liu, XH.,Pang, XK.,Wang, YG.,Yang, N.,王耀光.,...&Mo, ZY.(2018).Existence and stability of circular orbits in general static and spherically symmetric spacetimes.GENERAL RELATIVITY AND GRAVITATION,50(2),17. |
| MLA | Liu, XH,et al."Existence and stability of circular orbits in general static and spherically symmetric spacetimes".GENERAL RELATIVITY AND GRAVITATION 50.2(2018):17. |
入库方式： OAI收割
来源：高能物理研究所
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