Analytical solutions of equatorial geodesic motion in Kerr spacetime

作     者：刘岩 孙兵 Yan Liu;Bing Sun

作者机构：Department of PhysicsYantai UniversityYantai 264005China Department of Basic CoursesBeijing University of AgricultureBeijing 102206China CAS Key Laboratory of Theoretical PhysicsInstitute of Theoretical PhysicsChinese Academy of SciencesBeijing 100190China 

出 版 物：《Chinese Physics C》 (中国物理C（英文版）)

年 卷 期：2024年第48卷第4期

页      面：222-239页

核心收录：

学科分类：07[理学] 070401[理学-天体物理] 0704[理学-天文学] 0702[理学-物理学] 

基　　金：the Natural Science Foundation of Shandong Province(ZR2023QA133) Yantai University(WL22B218) B.S.is Supported by the National Natural Science Foundation of China(12375046) Beijing University of Agriculture(QJKC-2023032) 

主　　题：geodesic motion analytical solutions equatorial plane Kerr spacetime 

摘      要：The study of Kerr geodesics has a long history,particularly for those occurring within the equatorial plane,which are generally ***,when compared with the classification introduced by one of the authors[***.D 105,024075(2022)],it becomes apparent that certain classes of geodesics,such as trapped orbits,still lack analytical ***,in this study,we provide explicit analytical solutions for equatorial timelike geodesics in Kerr spacetime,including solutions of trapped orbits,which capture the characteristics of special geodesics,such as the positions and conserved quantities of circular,bound,and deflecting ***,we determine the precise location at which retrograde orbits undergo a transition from counter-rotating to prograde motion due to the strong gravitational effects near a rotating black ***,the trajectory remains prograde for orbits with negative energy despite the negative angular ***,we investigate the intriguing phenomenon of deflecting orbits exhibiting an increased number of revolutions around the black hole as the turning point approaches the turning point of the trapped ***,we find that only prograde marginal deflecting geodesics are capable of traversing through the *** summary,our findings present explicit solutions for equatorial timelike geodesics and offer insights into the dynamics of particle motion in the vicinity of a rotating black hole.