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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 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.

preprint2022arXivOpen access
Pradeep SinghHemwati NandanLokesh Kumar JoshiNidhi HandaShobhit Giri
gr-qc
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Open access5 authors1 topic
Imported metadata coverageMissing code, dataset, citation and institution fields are tracked without dominating the paper.Details
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Pradeep SinghHemwati NandanLokesh Kumar JoshiNidhi HandaShobhit Giri

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