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Chaos of charged particles near a renormalized group improved Kerr black hole in an external magnetic field
Junjie Lu, Xin Wu
https://arxiv.org/abs/2510.08954 https://

Chaos of charged particles near a renormalized group improved Kerr black hole in an external magnetic field
In a quantum theory of gravity, a renormalization group improved Kerr metric is obtained from the Kerr metric, where the Newton gravitational constant is modified as a function of the radial distance. The motion of neutral test particles in this metric is integrable. However, the dynamics of charged test particles is nonintegrable when an external asymptotically homogeneous magnetic field exists in the vicinity of the black hole. The transition from regular dynamics to chaotic dynamics is numer…