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	Existence and stability of circular orbits in general static and spherically symmetric spacetimes
	Jia, Junji1,2; Liu, Jiawei1,2; Liu, Xionghui1,2; Mo, Zhongyou1,2; Pang, Xiankai1,2; Wang, Yaoguang2,3; Yang, Nan4
刊名	General relativity and gravitation
	2018-02-01
卷号	50期号:2页码:20
关键词	Static spacetime Spherically symmetric spacetime Circular orbit Fixed point
ISSN号	0001-7701
DOI	10.1007/s10714-017-2337-1
通讯作者	Jia, junji(junjijia@whu.edu.cn)
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.
WOS关键词	NO-HAIR THEOREM ; BLACK-HOLES
WOS研究方向	Astronomy & Astrophysics ; Physics
WOS类目	Astronomy & Astrophysics ; Physics, Multidisciplinary ; Physics, Particles & Fields
语种	英语
出版者	SPRINGER/PLENUM PUBLISHERS
WOS记录号	WOS:000424666800008
内容类型	期刊论文
URI标识	http://www.corc.org.cn/handle/1471x/2177965
专题	高能物理研究所
通讯作者	Jia, Junji
作者单位	1.Wuhan Univ, MOE Key Lab Artificial Micro & Nanostruct, Wuhan 430072, Hubei, Peoples R China 2.Wuhan Univ, Sch Phys & Technol, Wuhan 430072, Hubei, Peoples R China 3.Chinese Acad Sci, Inst High Energy Phys, Beijing 100049, Peoples R China 4.Hubei Univ Technol, Glyn O Phillips Hydrocolloid Res Ctr, Wuhan 430068, Hubei, Peoples R China
推荐引用方式 GB/T 7714	Jia, Junji,Liu, Jiawei,Liu, Xionghui,et al. Existence and stability of circular orbits in general static and spherically symmetric spacetimes[J]. General relativity and gravitation,2018,50(2):20.
APA	Jia, Junji.,Liu, Jiawei.,Liu, Xionghui.,Mo, Zhongyou.,Pang, Xiankai.,...&Yang, Nan.(2018).Existence and stability of circular orbits in general static and spherically symmetric spacetimes.General relativity and gravitation,50(2),20.
MLA	Jia, Junji,et al."Existence and stability of circular orbits in general static and spherically symmetric spacetimes".General relativity and gravitation 50.2(2018):20.

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