Resonance crossing of a charged body in a magnetized Kerr background: an analogue of extreme mass ratio inspiral

Abstract

We investigate resonance crossings of a charged body moving around a Kerr black hole immersed in an external homogeneous magnetic field. This system can serve as an electromagnetic analogue of a weakly non-integrable extreme mass ratio inspiral (EMRI). In particular, the presence of the magnetic field renders the conservative part of the system non-integrable in the Liouville sense, while the electromagnetic self-force causes the charged body to inspiral. By studying the system without the self-force, we show the existence of an approximate Carter-like constant and discuss how resonances grow as a function of the perturbation parameter. Then, we apply the electromagnetic self-force to investigate crossings of these resonances during an inspiral. Averaging the energy and angular momentum losses during crossings allows us to employ an adiabatic approximation for them. We demonstrate that such adiabatic approximation provides results qualitatively equivalent to the instantaneous self-force evolution, which indicates that the adiabatic approximation may describe the resonance crossing with sufficiently accuracy in EMRIs.

arXiv comment17 pages, 9 figures

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• On Innermost Stable Spherical Orbits near a rotating black hole: A numerical study of the particle motion near the plunging region
• Resonant excitation of eccentricity in spherical extreme-mass-ratio inspirals
• Resonant interactions from dynamical perturbers on generic orbits around an extreme mass ratio inspiral
• Chaotic dynamics of pulsating spheres orbiting black holes
• Chaotic orbital dynamics of pulsating stars around black holes surrounded by dark matter halos
• Extreme mass ratio inspirals into black holes surrounded by matter: Resonance crossings
• Combining Machine Learning with Recurrence Analysis for resonance detection