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Analytical solutions of equatorial geodesic motion in kerr spacetime

Chinese Physics C 2024年第4期48卷 222-239页

作者：刘岩孙兵 Department of Physics Yantai UniversityYantai 264005China Department of Basic Courses Beijing University of AgricultureBeijing 102206China CAS Key Laboratory of Theoretical Physics Institute of Theoretical PhysicsChinese Academy of SciencesBeijing 100190China

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.

关键词： geodesic motion analytical solutions equatorial plane kerr spacetime

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