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Chaotic Motion around a Black Hole under Minimal Length Effects

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arxiv 2002.05894 v2 pith:3MWYDCR7 submitted 2020-02-14 gr-qc

Xiaobo Guo , Kangkai Liang , Benrong Mu , Peng Wang , Mingtao Yang This is my paper · ORCID
classification gr-qc
keywords chaoticgeodesicmotionaroundblackeffectsholelength
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We use the Melnikov method to identify chaotic behavior in geodesic motion perturbed by the minimal length effects around a Schwarzschild black hole. Unlike the integrable unperturbed geodesic motion, our results show that the perturbed homoclinic orbit, which is a geodesic joining the unstable circular orbit to itself, becomes chaotic in the sense that Smale horseshoes chaotic structure is present in phase space.

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  1. Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent

    gr-qc 2025-05 conditional novelty 4.0 of 10

    For 4D R-charged black holes, the Lyapunov exponent of unstable circular orbits tracks black hole phase transitions, and its discontinuity near the critical point shows a universal critical exponent of 1/2.

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