Arnold diffusion and geodesic dynamics of blackholes
arXiv:2012.03047
Abstract
In this paper, we study the chaotic motion of a massive particle moving in a perturbed Schwarzschild or Kerr background. We discover three novel orbits that do not exist in the unperturbed cases. First, we find zoom-whirl orbits moving around the photon shell which simultaneously exhibits Arnold diffusion: large oscillations of particle's angular momentum and energy. Next, we show the existence of oscillating orbits between a bounded region and infinity, analogous to Newtonian three-body problem. Thirdly, we find that in perturbed Kerr, there exists chaotic orbits around the event horizon that escapes the event horizon after approaching it.
References in corpus (15)
- Zoom & Whirl: Eccentric equatorial orbits around spinning black holes and their evolution under gravitational radiation reaction
- Two timescale analysis of extreme mass ratio inspirals in Kerr. I. Orbital Motion
- A lecture on the classical KAM theorem
- The Null Geodesics of the Kerr Exterior
- Zoom-Whirl Orbits in Black Hole Binaries
- An observable signature of a background deviating from Kerr
- Homoclinic Orbits around Spinning Black Holes I: Exact Solution for the Kerr Separatrix
- Free motion around black holes with discs or rings: between integrability and chaos - II
- The Astrophysics of Resonant Orbits in the Kerr Metric
- The harmonic structure of generic Kerr orbits
- Homoclinic Orbits around Spinning Black Holes II: The Phase Space Portrait
- The Onset of Chaotic Motion of a Spinning Particle around the Schwarzchild Black Hole
- Arnold diffusion in nearly integrable Hamiltonian systems of arbitrary degrees of freedom
- A general formalism for the stability of Kerr
- Quasi-periodic oscillations from the accretion disk around distorted black holes