Built on

H. Lim, G. Khanna, A. Apte, and S. A. Hughes, Exciting black hole modes via misaligned coalescences: II. The mode content of late-time coalescence waveforms, Phys. Rev. D 100
Original
1901
Earlier work this paper cites.
G. Carullo, W. Del Pozzo, and J. Veitch, Observational Black Hole Spectroscopy: A time-domain multimode analysis of GW150914, Phys. Rev. D 99
Original
1902
Earlier work this paper cites.
B. P. Abbott et al. (LIGO Scientific, Virgo), Tests of General Relativity with the Binary Black Hole Signals from the LIGO-Virgo Catalog GWTC-1, Phys. Rev. D 100
Original
1903
Earlier work this paper cites.
S. R. Green, S. Hollands, and P. Zimmerman, Teukolsky formalism for nonlinear Kerr perturbations, Class. Quant. Grav. 37
Original
1908
Earlier work this paper cites.
L. C. Stein, qnm: A Python package for calculating Kerr quasinormal modes, separation constants, and spherical-spheroidal mixing coefficients, J. Open Source Softw. 4
Original
1908
Earlier work this paper cites.
S. A. Teukolsky, Perturbations of a rotating black hole. 1. Fundamental equations for gravitational electromagnetic and neutrino field perturbations, Astrophys. J. 185
1973
Earlier work this paper cites.
R. M. Wald, Construction of solutions of gravitational, electromagnetic, or other perturbation equations from solutions of decoupled equations, Physical Review Letters 41
1978
Earlier work this paper cites.
R. J. Gleiser, C. O. Nicasio, R. H. Price, and J. Pullin, Second order perturbations of a Schwarzschild black hole, Class. Quant. Grav. 13
1996
Earlier work this paper cites.
W. Krivan, P. Laguna, P. Papadopoulos, and N. Andersson, Dynamics of perturbations of rotating black holes, Phys. Rev. D 56
1997
Earlier work this paper cites.
K. D. Kokkotas and B. G. Schmidt, Quasinormal modes of stars and black holes, Living Rev. Rel. 2
1999
Earlier work this paper cites.
M. Campanelli and C. O. Lousto, Second order gauge invariant gravitational perturbations of a Kerr black hole, Phys. Rev. D 59
1999
Earlier work this paper cites.
Y. Zlochower, R. Gomez, S. Husa, L. Lehner, and J. Winicour, Mode coupling in the nonlinear response of black holes, Phys. Rev. D 68
2003
Earlier work this paper cites.
E. T. Jaynes, Probability Theory: The Logic of Science (Cambridge University Press, Cambridge, UK, 2003)
2003
Earlier work this paper cites.
T. Akutsu et al. (KAGRA), Overview of KAGRA: Detector design and construction history, (2020), arXiv:2005.05574 [physics.ins-det]
Original
2005
Earlier work this paper cites.
E. Abdalla, C. B. M. H. Chirenti, and A. Saa, Quasinormal modes for the Vaidya metric, Phys. Rev. D 74
2006
Earlier work this paper cites.
E. Berti, V. Cardoso, and M. Casals, Eigenvalues and eigenfunctions of spin-weighted spheroidal harmonics in four and higher dimensions, Phys. Rev. D 73
2006
Earlier work this paper cites.
J. Skilling, Nested sampling for general bayesian computation, Bayesian Anal. 1
2006
Earlier work this paper cites.
E. N. Dorband, E. Berti, P. Diener, E. Schnetter, and M. Tiglio, A Numerical study of the quasinormal mode excitation of Kerr black holes, Phys. Rev. D 74
2006
Earlier work this paper cites.
E. Berti and V. Cardoso, Quasinormal ringing of Kerr black holes. I. The Excitation factors, Phys. Rev. D 74
2006
Earlier work this paper cites.
K. Ioka and H. Nakano, Second and higher-order quasi-normal modes in binary black hole mergers, Phys. Rev. D 76
Original
2007
Earlier work this paper cites.
H. Nakano and K. Ioka, Second Order Quasi-Normal Mode of the Schwarzschild Black Hole, Phys. Rev. D 76
Original
2007
Earlier work this paper cites.
A. Buonanno, G. B. Cook, and F. Pretorius, Inspiral, merger and ring-down of equal-mass black-hole binaries, Phys. Rev. D 75
2007
Earlier work this paper cites.

Similar

N. Loutrel, J. L. Ripley, E. Giorgi, and F. Pretorius, Second Order Perturbations of Kerr Black Holes: Reconstruction of the Metric, Phys. Rev. D 103
Original
2008
Cited alongside, same era.
E. Berti, V. Cardoso, and A. O. Starinets, Quasinormal modes of black holes and black branes, Class. Quant. Grav. 26
Original
2009
Cited alongside, same era.
D. Brizuela, J. M. Martin-Garcia, and M. Tiglio, A Complete gauge-invariant formalism for arbitrary second-order perturbations of a Schwarzschild black hole, Phys. Rev. D 80
Original
2009
Cited alongside, same era.
M. Guica, T. Hartman, W. Song, and A. Strominger, The Kerr/CFT Correspondence, Phys. Rev. D 80
Original
2009
Cited alongside, same era.
R. Abbott et al. (LIGO Scientific, Virgo), Tests of general relativity with binary black holes from the second LIGO-Virgo gravitational-wave transient catalog, Phys. Rev. D 103

Then

L. Barack et al. , Black holes, gravitational waves and fundamental physics: a roadmap, Class. Quant. Grav. 36
Original
2019
Later among the works it cites.
L. London and E. Fauchon-Jones, On modeling for Kerr black holes: Basis learning, QNM frequencies, and spherical-spheroidal mixing coefficients, Class. Quant. Grav. 36
Original
2019
Later among the works it cites.
L. T. London, Modeling ringdown. II. Aligned-spin binary black holes, implications for data analysis and fundamental theory, Phys. Rev. D 102
Original
2020
Later among the works it cites.
G. Carullo, Enhancing modified gravity detection from gravitational-wave observations using the parametrized ringdown spin expansion coeffcients formalism, Phys. Rev. D 103
Original
2021
Later among the works it cites.

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2023

Spin dependence of black hole ringdown nonlinearities

Redondo-Yuste, Jaime, Carullo, Gregorio, Ripley, Justin L. et al.

Understand

The nonlinear character of general relativity leaves its imprint in the coalescence of two black holes, from the inspiral to the final ringdown stage.

To quantify the impact of nonlinearities, we work at second order in black hole perturbation theory and we study the excitation of second-order modes relative to the first-order modes that drive them as we vary the black hole spin and the initial data for the perturbations.
The relative amplitude of second-order modes is only mildly dependent on the initial data that we consider, but it strongly decreases for large black hole spins.
This implies that the extrapolation of calculations based on the Kerr-CFT correspondence to subextremal Kerr black holes should be viewed with caution.

Built on

H. Lim, G. Khanna, A. Apte, and S. A. Hughes, Exciting black hole modes via misaligned coalescences: II. The mode content of late-time coalescence waveforms, Phys. Rev. D 100
Original
1901
Earlier work this paper cites.
G. Carullo, W. Del Pozzo, and J. Veitch, Observational Black Hole Spectroscopy: A time-domain multimode analysis of GW150914, Phys. Rev. D 99
Original
1902
Earlier work this paper cites.
B. P. Abbott et al. (LIGO Scientific, Virgo), Tests of General Relativity with the Binary Black Hole Signals from the LIGO-Virgo Catalog GWTC-1, Phys. Rev. D 100
Original
1903
Earlier work this paper cites.
S. R. Green, S. Hollands, and P. Zimmerman, Teukolsky formalism for nonlinear Kerr perturbations, Class. Quant. Grav. 37
Original
1908
Earlier work this paper cites.
L. C. Stein, qnm: A Python package for calculating Kerr quasinormal modes, separation constants, and spherical-spheroidal mixing coefficients, J. Open Source Softw. 4
Original
1908
Earlier work this paper cites.
S. A. Teukolsky, Perturbations of a rotating black hole. 1. Fundamental equations for gravitational electromagnetic and neutrino field perturbations, Astrophys. J. 185
1973
Earlier work this paper cites.
R. M. Wald, Construction of solutions of gravitational, electromagnetic, or other perturbation equations from solutions of decoupled equations, Physical Review Letters 41
1978
Earlier work this paper cites.
R. J. Gleiser, C. O. Nicasio, R. H. Price, and J. Pullin, Second order perturbations of a Schwarzschild black hole, Class. Quant. Grav. 13
1996
Earlier work this paper cites.
W. Krivan, P. Laguna, P. Papadopoulos, and N. Andersson, Dynamics of perturbations of rotating black holes, Phys. Rev. D 56
1997
Earlier work this paper cites.
K. D. Kokkotas and B. G. Schmidt, Quasinormal modes of stars and black holes, Living Rev. Rel. 2
1999
Earlier work this paper cites.
M. Campanelli and C. O. Lousto, Second order gauge invariant gravitational perturbations of a Kerr black hole, Phys. Rev. D 59
1999
Earlier work this paper cites.
Y. Zlochower, R. Gomez, S. Husa, L. Lehner, and J. Winicour, Mode coupling in the nonlinear response of black holes, Phys. Rev. D 68
2003
Earlier work this paper cites.
E. T. Jaynes, Probability Theory: The Logic of Science (Cambridge University Press, Cambridge, UK, 2003)
2003
Earlier work this paper cites.
T. Akutsu et al. (KAGRA), Overview of KAGRA: Detector design and construction history, (2020), arXiv:2005.05574 [physics.ins-det]
Original
2005
Earlier work this paper cites.
E. Abdalla, C. B. M. H. Chirenti, and A. Saa, Quasinormal modes for the Vaidya metric, Phys. Rev. D 74
2006
Earlier work this paper cites.
E. Berti, V. Cardoso, and M. Casals, Eigenvalues and eigenfunctions of spin-weighted spheroidal harmonics in four and higher dimensions, Phys. Rev. D 73
2006
Earlier work this paper cites.
J. Skilling, Nested sampling for general bayesian computation, Bayesian Anal. 1
2006
Earlier work this paper cites.
E. N. Dorband, E. Berti, P. Diener, E. Schnetter, and M. Tiglio, A Numerical study of the quasinormal mode excitation of Kerr black holes, Phys. Rev. D 74
2006
Earlier work this paper cites.
E. Berti and V. Cardoso, Quasinormal ringing of Kerr black holes. I. The Excitation factors, Phys. Rev. D 74
2006
Earlier work this paper cites.
K. Ioka and H. Nakano, Second and higher-order quasi-normal modes in binary black hole mergers, Phys. Rev. D 76
Original
2007
Earlier work this paper cites.
H. Nakano and K. Ioka, Second Order Quasi-Normal Mode of the Schwarzschild Black Hole, Phys. Rev. D 76
Original
2007
Earlier work this paper cites.
A. Buonanno, G. B. Cook, and F. Pretorius, Inspiral, merger and ring-down of equal-mass black-hole binaries, Phys. Rev. D 75
2007
Earlier work this paper cites.

Similar

N. Loutrel, J. L. Ripley, E. Giorgi, and F. Pretorius, Second Order Perturbations of Kerr Black Holes: Reconstruction of the Metric, Phys. Rev. D 103
Original
2008
Cited alongside, same era.
E. Berti, V. Cardoso, and A. O. Starinets, Quasinormal modes of black holes and black branes, Class. Quant. Grav. 26
Original
2009
Cited alongside, same era.
D. Brizuela, J. M. Martin-Garcia, and M. Tiglio, A Complete gauge-invariant formalism for arbitrary second-order perturbations of a Schwarzschild black hole, Phys. Rev. D 80
Original
2009
Cited alongside, same era.
M. Guica, T. Hartman, W. Song, and A. Strominger, The Kerr/CFT Correspondence, Phys. Rev. D 80
Original
2009
Cited alongside, same era.
R. Abbott et al. (LIGO Scientific, Virgo), Tests of general relativity with binary black holes from the second LIGO-Virgo gravitational-wave transient catalog, Phys. Rev. D 103

Then

L. Barack et al. , Black holes, gravitational waves and fundamental physics: a roadmap, Class. Quant. Grav. 36
Original
2019
Later among the works it cites.
L. London and E. Fauchon-Jones, On modeling for Kerr black holes: Basis learning, QNM frequencies, and spherical-spheroidal mixing coefficients, Class. Quant. Grav. 36
Original
2019
Later among the works it cites.
L. T. London, Modeling ringdown. II. Aligned-spin binary black holes, implications for data analysis and fundamental theory, Phys. Rev. D 102
Original
2020
Later among the works it cites.
G. Carullo, Enhancing modified gravity detection from gravitational-wave observations using the parametrized ringdown spin expansion coeffcients formalism, Phys. Rev. D 103
Original
2021
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…

Original

2010

Cited alongside, same era.

E. Pazos, D. Brizuela, J. M. Martin-Garcia, and M. Tiglio, Mode coupling of Schwarzschild perturbations: Ringdown frequencies, Phys. Rev. D 82

Original

2010

Cited alongside, same era.

J. L. Ripley, N. Loutrel, E. Giorgi, and F. Pretorius, Numerical computation of second order vacuum perturbations of Kerr black holes, Phys. Rev. D 103

Original

2010

Cited alongside, same era.

R. A. Konoplya and A. Zhidenko, Quasinormal modes of black holes: From astrophysics to string theory, Rev. Mod. Phys. 83

Original

2011

Cited alongside, same era.

F. Carrasco, L. Lehner, R. C. Myers, O. Reula, and A. Singh, Turbulent flows for relativistic conformal fluids in 2+1 dimensions, Phys. Rev. D 86

Original

2012

Cited alongside, same era.

B. J. Kelly and J. G. Baker, Decoding mode mixing in black-hole merger ringdown, Phys. Rev. D 87

Original

2013

Cited alongside, same era.

E. Berti and A. Klein, Mixing of spherical and spheroidal modes in perturbed Kerr black holes, Phys. Rev. D 90

Original

2014

Cited alongside, same era.

S. R. Green, F. Carrasco, and L. Lehner, Holographic Path to the Turbulent Side of Gravity, Phys. Rev. X 4

Original

2014

Cited alongside, same era.

G. Carullo, D. Laghi, N. K. Johnson-McDaniel, W. Del Pozzo, O. J. C. Dias, M. Godazgar, and J. E. Santos, Constraints on Kerr-Newman black holes from merger-ringdown gravitational-wave observations, Phys. Rev. D 105

Original

2022