Existence and stability of circular orbits in general static and spherically symmetric spacetimes

doi:10.1007/s10714-017-2337-1

	Existence and stability of circular orbits in general static and spherically symmetric spacetimes
	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
	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
内容类型	期刊论文
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.