论文标题
在Kerr Spacetime赤道平面中圆形测量学的稳定性
Stability of circular geodesics in equatorial plane of Kerr spacetime
论文作者
论文摘要
我们通过Lyapunov稳定性分析分析了Kerr BH时空的圆形测量学以及Kerr BH时空的无效的稳定性。此外，我们通过呈现时间次和无效测量学的相位肖像来验证稳定性的结果。此外，通过回顾Kosambi-Cartan-Chern（KCC）理论，我们分析了Kerr时空的Jacobi稳定性，并介绍了用于地球学稳定性分析方法的比较研究。
We analyze the stability of circular geodesics for timelike as well as null geodesics of the Kerr BH spacetime with rotation parameter on the equatorial plane by Lyapunov stability analysis. Also, we verify the results of stability by presenting the phase portrait for both timelike and null geodesics. Further, by reviewing the Kosambi-Cartan-Chern (KCC) theory, we analyze the Jacobi stability for Kerr spacetime and present a comparative study of the methods used for stability analysis of geodesics.
