Built on

A. Apte and S. A. Hughes, “Exciting black hole modes via misaligned coalescences: I. Inspiral, transition, and plunge trajectories using a generalized Ori-Thorne procedure,” Phys. Rev. D
Original
1901
Earlier work this paper cites.
G. Compère, K. Fransen, and C. Jonas, “Transition from inspiral to plunge into a highly spinning black hole,” Class. Quant. Grav
Original
1909
Earlier work this paper cites.
O. Burke, J. R. Gair, and J. Simón, “Transition from Inspiral to Plunge: A Complete Near-Extremal Trajectory and Associated Waveform,” Phys. Rev. D
Original
1909
Earlier work this paper cites.
M. Maggiore et al
Original
1912
Earlier work this paper cites.
B. R. Iyer and C. M. Will, “Post-newtonian gravitational radiation reaction for two-body systems,” Phys. Rev. Lett
1993
Earlier work this paper cites.
A. Buonanno and T. Damour, “Transition from inspiral to plunge in binary black hole coalescences,” Phys. Rev
2000
Earlier work this paper cites.
A. Ori and K. S. Thorne, “The Transition from inspiral to plunge for a compact body in a circular equatorial orbit around a massive, spinning black hole,” Phys. Rev
2000
Earlier work this paper cites.
K. Glampedakis and D. Kennefick, “Zoom and whirl: Eccentric equatorial orbits around spinning black holes and their evolution under gravitational radiation reaction,” Phys. Rev. D
2002
Earlier work this paper cites.
A. Buonanno, Y. Chen, and T. Damour, “Transition from inspiral to plunge in precessing binaries of spinning black holes,” Phys. Rev
2006
Earlier work this paper cites.
J. Miller and A. Pound, “Two-timescale evolution of extreme-mass-ratio inspirals: waveform generation scheme for quasicircular orbits in Schwarzschild spacetime,” Phys. Rev. D
Original
2006
Earlier work this paper cites.

Similar

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Original
2007
Cited alongside, same era.
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P. A. Sundararajan, “The Transition from adiabatic inspiral to geodesic plunge for a compact object around a massive Kerr black hole: Generic orbits,” Phys. Rev
Original
2008
Cited alongside, same era.
T. Hinderer and E. E. Flanagan, “Two timescale analysis of extreme mass ratio inspirals in Kerr. I. Orbital Motion,” Phys. Rev
Original
2008
Cited alongside, same era.
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Then

S. Bernuzzi, A. Nagar, and A. Zenginoglu, “Binary black hole coalescence in the large-mass-ratio limit: the hyperboloidal layer method and waveforms at null infinity,” Phys. Rev. D
Original
2011
Later among the works it cites.
M. Kesden, “Transition from adiabatic inspiral to plunge into a spinning black hole,” Phys. Rev
Original
2011
Later among the works it cites.
Springer Netherlands, Dordrecht, 2011
Original
S. E. Gralla and R. M. Wald, Derivation of Gravitational Self-Force · 2011
Later among the works it cites.
E. E. Flanagan and T. Hinderer, “Transient resonances in the inspirals of point particles into black holes,” Phys. Rev. Lett
Original
2012
Later among the works it cites.
Y. Pan, A. Buonanno, A. Taracchini, L. E. Kidder, A. H. Mroué, H. P. Pfeiffer, M. A. Scheel, and B. Szilágyi, “Inspiral-merger-ringdown waveforms of spinning, precessing black-hole binaries in the effective-one-body formalism,” Phys. Rev

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2021

Self-consistent adiabatic inspiral and transition motion

Compère, Geoffrey, Küchler, Lorenzo

Understand

The transition motion of a point particle around the last stable orbit of Kerr is described at leading order in the transition-timescale expansion.

Taking systematically into account all self-force effects, we prove that the transition motion is still described by the Painlev\'e transcendent equation of the first kind.
Using an asymptotically matched expansions scheme, we consistently match the quasi-circular adiabatic inspiral with the transition motion.
The matching requires us to take into account the secular change of angular velocity due to radiation reaction during the adiabatic inspiral.

Built on

A. Apte and S. A. Hughes, “Exciting black hole modes via misaligned coalescences: I. Inspiral, transition, and plunge trajectories using a generalized Ori-Thorne procedure,” Phys. Rev. D
Original
1901
Earlier work this paper cites.
G. Compère, K. Fransen, and C. Jonas, “Transition from inspiral to plunge into a highly spinning black hole,” Class. Quant. Grav
Original
1909
Earlier work this paper cites.
O. Burke, J. R. Gair, and J. Simón, “Transition from Inspiral to Plunge: A Complete Near-Extremal Trajectory and Associated Waveform,” Phys. Rev. D
Original
1909
Earlier work this paper cites.
M. Maggiore et al
Original
1912
Earlier work this paper cites.
B. R. Iyer and C. M. Will, “Post-newtonian gravitational radiation reaction for two-body systems,” Phys. Rev. Lett
1993
Earlier work this paper cites.
A. Buonanno and T. Damour, “Transition from inspiral to plunge in binary black hole coalescences,” Phys. Rev
2000
Earlier work this paper cites.
A. Ori and K. S. Thorne, “The Transition from inspiral to plunge for a compact body in a circular equatorial orbit around a massive, spinning black hole,” Phys. Rev
2000
Earlier work this paper cites.
K. Glampedakis and D. Kennefick, “Zoom and whirl: Eccentric equatorial orbits around spinning black holes and their evolution under gravitational radiation reaction,” Phys. Rev. D
2002
Earlier work this paper cites.
A. Buonanno, Y. Chen, and T. Damour, “Transition from inspiral to plunge in precessing binaries of spinning black holes,” Phys. Rev
2006
Earlier work this paper cites.
J. Miller and A. Pound, “Two-timescale evolution of extreme-mass-ratio inspirals: waveform generation scheme for quasicircular orbits in Schwarzschild spacetime,” Phys. Rev. D
Original
2006
Earlier work this paper cites.