Stability of circular geodesics in equatorial plane of Kerr spacetime

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 geodesic...

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Bibliographic Details
Published in:arXiv.org 2022-04
Main Authors: Singh, Pradeep, Nandan, Hemwati, Joshi, Lokesh Kumar, Handa, Nidhi, Giri, Shobhit
Format: Article
Language:English
Subjects:
Comparative studies
Geodesy
Relativity
Spacetime
Stability analysis
Online Access:Get full text
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Summary: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.
ISSN:2331-8422
DOI:10.48550/arxiv.2204.11002