Chaotic Motion around a Black Hole under Minimal Length Effects
General Relativity and Quantum Cosmology
2021-02-03 v2
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.
Keywords
Cite
@article{arxiv.2002.05894,
title = {Chaotic Motion around a Black Hole under Minimal Length Effects},
author = {Xiaobo Guo and Kangkai Liang and Benrong Mu and Peng Wang and Mingtao Yang},
journal= {arXiv preprint arXiv:2002.05894},
year = {2021}
}
Comments
17 pages, 4figures