Fetching the paper…

Reading the bibliography…

2019

Transition from inspiral to plunge into a highly spinning black hole

Compère, Geoffrey, Fransen, Kwinten, Jonas, Caroline

Original
PDF
Post on X

Understand

We extend the Ori-Thorne-Kesden procedure to consistently describe the non-quasi-circular transition around the ISCO from inspiral to plunge into a black hole of arbitrary spin, including near-extremal.

We identify that for moderate or high spins the transition is governed by the Painlev\'e transcendent equation of the first kind while for extremely high spins it is governed by a self-similar solution to the Korteweg-de Vries equation.
We match the transition solution at leading order in the high spin limit with the analytical quasi-circular inspiral in the near-horizon region.
We also show that the central black hole of an extreme mass ratio binary has a near-extremality parameter that scales at least as the mass ratio due to superradiant gravitational wave emission, which excludes extremely high spins.

Transition from inspiral to plunge into a highly spinning black hole · Around

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
Original
1901
Earlier work this paper cites.
B. Chen, G. Compère, Y. Liu, J. Long, and X. Zhang, “Spin and Quadrupole Couplings for High Spin Equatorial Intermediate Mass-ratio Coalescences,” Class. Quant. Grav
Original
1901
Earlier work this paper cites.
D. Kapec and A. Lupsasca, “Particle motion near high-spin black holes,” Class. Quant. Grav
Original
1905
Earlier work this paper cites.
V. Baibhav et al
Original
1908
Earlier work this paper cites.
J. M. Bardeen, “Kerr Metric Black Holes,” Nature
1970
Earlier work this paper cites.
K. S. Thorne, “Disk-Accretion onto a Black Hole. II. Evolution of the Hole,” Astrophys.J
1974
Earlier work this paper cites.
R. Haberman, “Slowly Varying Jump and Transition Phenomena Associated with Algebraic Bifurcation Problems,” SIAM J. Appl. Math
1979
Earlier work this paper cites.
M. A. Abramowicz and J. P. Lasota, “Spin-up of black holes by thick accretion disks,” Acta Astron
1980
Earlier work this paper cites.
Cambridge university press, 1991
M. J. Ablowitz, M. Ablowitz, P. Clarkson, and P. A. Clarkson, Solitons, nonlinear evolution equations and inverse scattering · 1991
Earlier work this paper cites.
F. D. Ryan, “Effect of gravitational radiation reaction on nonequatorial orbits around a Kerr black hole,” Phys. Rev. D
1996
Earlier work this paper cites.
D. Kennefick, “Stability under radiation reaction of circular equatorial orbits around Kerr black holes,” Phys. Rev
1998
Earlier work this paper cites.
J. M. Bardeen and G. T. Horowitz, “The Extreme Kerr throat geometry: A Vacuum analog of AdS(2) x S**2,” Phys. Rev
1999
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.
A. Buonanno and T. Damour, “Transition from inspiral to plunge in binary black hole coalescences,” Phys. Rev
2000
Earlier work this paper cites.

Similar

G. Compère and A. Druart, “Near-horizon Geodesics of High Spin Black Holes,” 2001.03478
Original
2001
Cited alongside, same era.
K. Glampedakis and D. Kennefick, “Zoom and whirl: Eccentric equatorial orbits around spinning black holes and their evolution under gravitational radiation reaction,” Phys. Rev
2002
Cited alongside, same era.
S. A. Hughes and R. D. Blandford, “Black hole mass and spin coevolution by mergers,” Astrophys. J
2003
Cited alongside, same era.
M. C. Miller, “Probing general relativity with mergers of supermassive and intermediate-mass black holes,” Astrophys. J
2004
Cited alongside, same era.
A. Pound, E. Poisson, and B. G. Nickel, “Limitations of the adiabatic approximation to the gravitational self-force,” Phys. Rev
2005
Cited alongside, same era.

Then

I. Bredberg, C. Keeler, V. Lysov, and A. Strominger, “Cargese Lectures on the Kerr/CFT Correspondence,” Nucl. Phys. Proc. Suppl
Original
2011
Later among the works it cites.
R. J. E. Smith, I. Mandel, and A. Vechhio, “Studies of waveform requirements for intermediate mass-ratio coalescence searches with advanced gravitational-wave detectors,” Phys. Rev
Original
2013
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
Original
2014
Later among the works it cites.
A. Taracchini, A. Buonanno, G. Khanna, and S. A. Hughes, “Small mass plunging into a Kerr black hole: Anatomy of the inspiral-merger-ringdown waveforms,” Phys. Rev
Original
2014
Later among the works it cites.

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

A. Buonanno, Y. Chen, and T. Damour, “Transition from inspiral to plunge in precessing binaries of spinning black holes,” Phys. Rev

2006

Cited alongside, same era.

P. Amaro-Seoane, J. R. Gair, M. Freitag, M. Coleman Miller, I. Mandel, C. J. Cutler, and S. Babak, “Astrophysics, detection and science applications of intermediate- and extreme mass-ratio inspirals,” Class. Quant. Grav

2007

Cited alongside, same era.

T. Damour and A. Nagar, “Faithful effective-one-body waveforms of small-mass-ratio coalescing black-hole binaries,” Phys. Rev

2007

Cited alongside, same era.

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

2008

Cited alongside, same era.

A. Buonanno, L. E. Kidder, and L. Lehner, “Estimating the final spin of a binary black hole coalescence,” Phys. Rev

2008

Cited alongside, same era.

M. Kesden, “Can binary mergers produce maximally spinning black holes?,” Phys. Rev

2008

Cited alongside, same era.

T. Damour and A. Nagar, “An Improved analytical description of inspiralling and coalescing black-hole binaries,” Phys. Rev

2009

Cited alongside, same era.

A. P. Porfyriadis and A. Strominger, “Gravity waves from the Kerr/CFT correspondence,” Phys. Rev

2014

Later among the works it cites.

S. Hadar, A. P. Porfyriadis, and A. Strominger, “Gravity Waves from Extreme-Mass-Ratio Plunges into Kerr Black Holes,” Phys. Rev

2014

Later among the works it cites.

S. Hadar, A. P. Porfyriadis, and A. Strominger, “Fast plunges into Kerr black holes,” JHEP

2015

Later among the works it cites.

S. E. Gralla, A. P. Porfyriadis, and N. Warburton, “Particle on the Innermost Stable Circular Orbit of a Rapidly Spinning Black Hole,” Phys. Rev

2015

Later among the works it cites.

S. E. Gralla, S. A. Hughes, and N. Warburton, “Inspiral into Gargantua,” Class. Quant. Grav

2016

Later among the works it cites.

S. Hadar and A. P. Porfyriadis, “Whirling orbits around twirling black holes from conformal symmetry,” JHEP

2017

Later among the works it cites.

G. Compère, “The Kerr/CFT correspondence and its extensions,” Living Rev. Rel

2017

Later among the works it cites.

G. Compère, K. Fransen, T. Hertog, and J. Long, “Gravitational waves from plunges into Gargantua,” Class. Quant. Grav

2018

Later among the works it cites.

O. Burke, J. R. Gair, and J. Simón, “Transition from inspiral to plunge: A complete near-extremal waveform,” arXiv preprint arXiv:1909.12846

2019

Closest in time.