The transition from adiabatic inspiral to geodesic plunge for a compact object around a massive Kerr black hole: Generic orbits

Abstract

The inspiral of a stellar mass compact object falling into a massive Kerr black hole can be broken into three different regimes: An adiabatic inspiral phase, where the inspiral timescale is much larger than the orbital period; a late-time radial infall, which can be approximated as a plunging geodesic; and a regime where the body transitions from the inspiral to plunge. In earlier work, Ori and Thorne have outlined a method to compute the trajectory during this transition for a compact object in a circular, equatorial orbit. We generalize this technique to include inclination and eccentricity.

11 pages, 6 figures. Accepted by Phys. Rev. D. New version addresses referee's comments

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Cited by in corpus (16)

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• Gravitational self force in extreme mass-ratio inspirals
• Adiabatic waveforms for extreme mass-ratio inspirals via multivoice decomposition in time and frequency
• The location of the last stable orbit in Kerr spacetime
• Exciting black hole modes via misaligned coalescences: I. Inspiral, transition, and plunge trajectories using a generalized Ori-Thorne procedure
• Gravitational waves from merging compact binaries
• Eccentric self-forced inspirals into a rotating black hole
• Isofrequency pairing of geodesic orbits in Kerr geometry
• Transition from Inspiral to Plunge: A Complete Near-Extremal Trajectory and Associated Waveform
• Intermediate-mass-ratio-inspirals in the Einstein Telescope. II. Parameter estimation errors
• Self-consistent adiabatic inspiral and transition motion
• Transition from inspiral to plunge into a highly spinning black hole
• Approach to the separatrix with eccentric orbits
• Success of the small mass ratio approximation during the final orbits of binary black hole simulations
• A Study of Elliptical Last Stable Orbits About a Massive Kerr Black Hole
• Asymptotically matched quasi-circular inspiral and transition-to-plunge in the small mass ratio expansion