title: Orbital resonances around black holes.
abstract: We compute the length and time scales associated with resonant orbits around Kerr black holes for all orbital and spin parameters. Resonance-induced effects are potentially observable when the Event Horizon Telescope resolves the inner structure of Sgr A*, when space-based gravitational wave detectors record phase shifts in the waveform during the resonant passage of a compact object spiraling into the black hole, or in the frequencies of quasiperiodic oscillations for accreting black holes. The onset of geodesic chaos for non-Kerr spacetimes should occur at the resonance locations quantified here.
authors.affiliation: National Institute for Theoretical Physics (NITheP), Bag X1 Matieland, Stellenbosch 7602, South Africa.|Department of Applied Mathematics, Stellenbosch University, Stellenbosch 7602, South Africa.
authors.forename: Jeandrew
authors.initials: J
authors.lastname: Brink
authors.affiliation: Department of Astrophysics, University of Oxford, Oxford OX1 2JD, United Kingdom.|Department of Physics, Stellenbosch University, Stellenbosch 7602, South Africa.
authors.forename: Marisa
authors.initials: M
authors.lastname: Geyer
authors.affiliation: Department of Physics, Maryland Center for Fundamental Physics and Joint Space-Science Institute, University of Maryland, College Park, Maryland 20742, USA.
authors.forename: Tanja
authors.initials: T
authors.lastname: Hinderer