Chaotic motion around a black hole under minimal length effects

2020/02/29 by Xiaobo Guo, Kangkai Liang, Benrong Mu +2
Physics and Astronomy · #Astrophysical Phenomena and Observations #Black Holes and Theoretical Physics #Chaotic #Geodesic #Heteroclinic orbit #Homoclinic orbit #Integrable system #Motion (physics) #Orbit (dynamics) #Quantum chaos and dynamical systems #Schwarzschild radius #gr-qc

paper · pdf · doi:10.1140/epjc/s10052-020-8335-6

17 pages, 4figures

openalex created_date 2020/02/24 · arxiv created 2020/03/01 · openalex publication_date 2020/08/01 · arxiv updated 2021/02/03 · openalex updated_date 2026/08/05

Abstract

Abstract 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.

Citations

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