https://doi.org/10.1140/epjp/s13360-022-02477-1
Regular Article
Stability of circular geodesics in equatorial plane of Kerr spacetime
1
Department of Mathematics and Statistics, Gurukula Kangri (Deemed to be University), 249 404, Haridwar, Uttarakhand, India
2
Department of Physics, Gurukula Kangri (Deemed to be University), 249 404, Haridwar, Uttarakhand, India
3
Center for Space Research, North-West University, 2745, Mahikeng, South Africa
4
Department of Applied Science, Faculty of Engineering and Technology, Gurukula Kangri (Deemed to be University), 249 404, Haridwar, Uttarakhand, India
Received:
28
January
2022
Accepted:
11
February
2022
Published online:
23
February
2022
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.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2022
