Arnold diffusion in geodesic dynamics of blackholes

Abstract: We consider the geodesics dynamics of a particle moving in a blackhole background that is a small perturbation of Schwarzschild and Kerr. We show that there are some remarkable chaotic dynamical behaviors including Arnold diffusion, oscillatory motions and chaotic carrousel motions around the event horizon. We also explain the implication of KAM in this setting, related to two observable phenomena: photon ring and QPO.

Mathematics

Audience: researchers in the topic

ICCM 2020