Horava-Lifshitz黑洞时空中的测地线结构  

Geodesic Structures in Horava-Lifshitz Black Hole Spacetime

作　　者：唐睿君 李倩 刘显明 TANG Ruijun;LI Qian;LIU Xianming(School of Mathematics and Statistics,Hubei Minzu University,Enshi 445000,China;School of Information Engineering,Hubei Minzu University,Enshi 445000,China)

机构地区：[1]湖北民族大学数学与统计学院,湖北恩施445000 [2]湖北民族大学信息工程学院,湖北恩施445000

出　　处：《湖北民族大学学报（自然科学版）》2022年第1期103-109,共7页Journal of Hubei Minzu University:Natural Science Edition

基　　金：国家自然科学基金项目(11365008,11711530645);湖北省高等学校优秀中青年科技创新团队项目(T201712);湖北省高校省级教学研究项目(2020545);湖北民族大学校内培育项目(4205007)。

摘　　要：应用有效势的方法分析了Horava-Lifshitz(HL)黑洞时空中的测地线结构.对于类时测地线,发现不稳定圆轨道半径r_(u)、最内层圆轨道半径r_(ms)和最小半径束缚轨道r_(mb)均随着HL黑洞时空中参数ω的增大而增大.稳定圆轨道半径r_(s)则随着ω的增大而减小.对于类光测地线,不稳定圆轨道半径r_(u)和HL黑洞阴影半径R_(S)随着ω的增大而增大.当ω趋于无穷大时,这些特征轨道回到史瓦西黑洞中解的情况.In this paper,the geodesic structure of Horava-Lifshitz(HL)black hole spacetime is investigated in detail by using the effective potential method.For time-like geodesics,we find that the unstable circular orbit radius r_(u),the innermost circular orbit radius r_(ms) and the minimum radius bound orbit r_(mb) all increase with the increase of the parametersωin HL black hole spacetime.The radius of stable circular orbit r_(s) decreases with the increase ofω.For null geodesics,unstable circular orbit radius r_(u) and HL black hole shadow radius R_(S) increase with the increase ofω.Whenωapproaches to infinity,all of these characteristic orbits return to the Schwarzschild black hole results in General Relativity.

关 键 词：Horava-Lifshitz黑洞 有效势 测地线结构 黑洞阴影 轨道 

分 类 号：O412.1[理学—理论物理]