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.
M. Giesler, M. Isi, M. A. Scheel, and S. Teukolsky, Black Hole Ringdown: The Importance of Overtones, Phys. Rev. X 9
Original
1903
Earlier work this paper cites.
M. Boyle et al. , The SXS Collaboration catalog of binary black hole simulations, Class. Quant. Grav. 36
Original
1904
Earlier work this paper cites.
C. J. Woodford, M. Boyle, and H. P. Pfeiffer, Compact Binary Waveform Center-of-Mass Corrections, Phys. Rev. D 100
Original
1904
Earlier work this paper cites.
M. Isi, M. Giesler, W. M. Farr, M. A. Scheel, and S. A. Teukolsky, Testing the no-hair theorem with GW150914, Phys. Rev. Lett. 123
Original
1905
Earlier work this paper cites.
V. Baibhav, E. Berti, D. Gerosa, M. Mapelli, N. Giacobbo, Y. Bouffanais, and U. N. Di Carlo, Gravitational-wave detection rates for compact binaries formed in isolation: LIGO/Virgo O3 and beyond, Phys. Rev. D 100
Original
1906
Earlier work this paper cites.
P. Virtanen et al. , SciPy 1.0–Fundamental Algorithms for Scientific Computing in Python, Nature Meth. 17
Original
1907
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.
M. Maggiore et al. , Science Case for the Einstein Telescope, JCAP 03
Original
1912
Earlier work this paper cites.
T. Regge and J. A. Wheeler, Stability of a Schwarzschild singularity, Phys. Rev. 108
1957
Earlier work this paper cites.
H. Bondi, M. G. J. Van der Burg, and A. W. K. Metzner, Gravitational waves in general relativity, VII. Waves from axi-symmetric isolated system, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences 269
1962
Earlier work this paper cites.
R. K. Sachs and H. Bondi, Gravitational waves in general relativity VIII. Waves in asymptotically flat space-time, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences 270
1962
Earlier work this paper cites.
E. T. Newman and R. Penrose, Note on the Bondi-Metzner-Sachs group, J. Math. Phys. 7
1966
Earlier work this paper cites.
J. N. Goldberg, A. J. MacFarlane, E. T. Newman, F. Rohrlich, and E. C. G. Sudarshan, Spin s spherical harmonics and edth, J. Math. Phys. 8
1967
Earlier work this paper cites.
F. J. Zerilli, Effective potential for even parity Regge-Wheeler gravitational perturbation equations, Phys. Rev. Lett. 24
1970
Earlier work this paper cites.
W. B. Campbell and T. Morgan, Debye Potentials for the Gravitational Field, Physica 53
1971
Earlier work this paper cites.
S. A. Teukolsky, Perturbations of a Rotating Black Hole. I. Fundamental Equations for Gravitational, Electromagnetic, and Neutrino-Field Perturbations, Astrophys. J. 185
1973
Earlier work this paper cites.
W. H. Press and S. A. Teukolsky, Perturbations of a Rotating Black Hole. II. Dynamical Stability of the Kerr Metric, Astrophys. J. 185
1973
Earlier work this paper cites.
R. Geroch, A. Held, and R. Penrose, A space-time calculus based on pairs of null directions, J. Math. Phys. 14
1973
Earlier work this paper cites.
Y. B. Zel’dovich and A. G. Polnarev, Radiation of gravitational waves by a cluster of superdense stars, Sov. Astron. 18
1974
Earlier work this paper cites.
S. L. Detweiler, Black Holes and Gravitational Waves. III. The Resonant Frequencies of Rotating Holes, Astrophys. J. 239
1980
Earlier work this paper cites.
E. W. Leaver, An Analytic representation for the quasi normal modes of Kerr black holes, Proc. Roy. Soc. Lond. A 402
1985
Earlier work this paper cites.

Similar

O. M. Moreschi, On angular momentum at future null infinity, Class. Quantum Gravity 3
1986
Cited alongside, same era.
V. B. Braginsky and K. S. Thorne, Gravitational-wave bursts with memory and experimental prospects, Nature 327
1987
Cited alongside, same era.
O. M. Moreschi, Supercenter of Mass System at Future Null Infinity, Class. Quant. Grav. 5
1988
Cited alongside, same era.
D. Christodoulou, Nonlinear nature of gravitation and gravitational-wave experiments, Phys. Rev. Lett. 67
1991
Cited alongside, same era.
K. S. Thorne, Gravitational-wave bursts with memory: The Christodoulou effect, Phys. Rev. D 45
1992
Cited alongside, same era.
O. M. Moreschi and S. Dain, Rest frame system for asymptotically flat space-times, J. Math. Phys. 39

Then

D. A. B. Iozzo, M. Boyle, N. Deppe, J. Moxon, M. A. Scheel, L. E. Kidder, H. P. Pfeiffer, and S. A. Teukolsky, Extending gravitational wave extraction using Weyl characteristic fields, Phys. Rev. D 103
Original
2010
Later among the works it cites.
K. Mitman et al. , Adding gravitational memory to waveform catalogs using BMS balance laws, Phys. Rev. D 103
Original
2011
Later among the works it cites.
J. Bellovary et al. (NASA LISA Study Team), Getting Ready for LISA: The Data, Support and Preparation Needed to Maximize US Participation in Space-Based Gravitational Wave Science, arXiv:2012.02650 [astro-ph.IM]
Original
2012
Later among the works it cites.
F. Gao and L. Han, Implementing the nelder-mead simplex algorithm with adaptive parameters, Computational Optimization and Applications 51
2012
Later among the works it cites.

Beyond the bibliography

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

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Reading the bibliography…

2021

High Precision Ringdown Modeling: Multimode Fits and BMS Frames

Zertuche, Lorena Magaña, Mitman, Keefe, Khera, Neev et al.

Understand

Quasi-normal mode (QNM) modeling is an invaluable tool for characterizing remnant black holes, studying strong gravity, and testing GR.

Only recently have QNM studies begun to focus on multimode fitting to numerical relativity (NR) strain waveforms.
As GW observatories become even more sensitive they will be able to resolve higher-order modes.
Consequently, multimode QNM fits will be critically important, and in turn require a more thorough treatment of the asymptotic frame at $\mathscr{I}^+$.

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.
M. Giesler, M. Isi, M. A. Scheel, and S. Teukolsky, Black Hole Ringdown: The Importance of Overtones, Phys. Rev. X 9
Original
1903
Earlier work this paper cites.
M. Boyle et al. , The SXS Collaboration catalog of binary black hole simulations, Class. Quant. Grav. 36
Original
1904
Earlier work this paper cites.
C. J. Woodford, M. Boyle, and H. P. Pfeiffer, Compact Binary Waveform Center-of-Mass Corrections, Phys. Rev. D 100
Original
1904
Earlier work this paper cites.
M. Isi, M. Giesler, W. M. Farr, M. A. Scheel, and S. A. Teukolsky, Testing the no-hair theorem with GW150914, Phys. Rev. Lett. 123
Original
1905
Earlier work this paper cites.
V. Baibhav, E. Berti, D. Gerosa, M. Mapelli, N. Giacobbo, Y. Bouffanais, and U. N. Di Carlo, Gravitational-wave detection rates for compact binaries formed in isolation: LIGO/Virgo O3 and beyond, Phys. Rev. D 100
Original
1906
Earlier work this paper cites.
P. Virtanen et al. , SciPy 1.0–Fundamental Algorithms for Scientific Computing in Python, Nature Meth. 17
Original
1907
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.
M. Maggiore et al. , Science Case for the Einstein Telescope, JCAP 03
Original
1912
Earlier work this paper cites.
T. Regge and J. A. Wheeler, Stability of a Schwarzschild singularity, Phys. Rev. 108
1957
Earlier work this paper cites.
H. Bondi, M. G. J. Van der Burg, and A. W. K. Metzner, Gravitational waves in general relativity, VII. Waves from axi-symmetric isolated system, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences 269
1962
Earlier work this paper cites.
R. K. Sachs and H. Bondi, Gravitational waves in general relativity VIII. Waves in asymptotically flat space-time, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences 270
1962
Earlier work this paper cites.
E. T. Newman and R. Penrose, Note on the Bondi-Metzner-Sachs group, J. Math. Phys. 7
1966
Earlier work this paper cites.
J. N. Goldberg, A. J. MacFarlane, E. T. Newman, F. Rohrlich, and E. C. G. Sudarshan, Spin s spherical harmonics and edth, J. Math. Phys. 8
1967
Earlier work this paper cites.
F. J. Zerilli, Effective potential for even parity Regge-Wheeler gravitational perturbation equations, Phys. Rev. Lett. 24
1970
Earlier work this paper cites.
W. B. Campbell and T. Morgan, Debye Potentials for the Gravitational Field, Physica 53
1971
Earlier work this paper cites.
S. A. Teukolsky, Perturbations of a Rotating Black Hole. I. Fundamental Equations for Gravitational, Electromagnetic, and Neutrino-Field Perturbations, Astrophys. J. 185
1973
Earlier work this paper cites.
W. H. Press and S. A. Teukolsky, Perturbations of a Rotating Black Hole. II. Dynamical Stability of the Kerr Metric, Astrophys. J. 185
1973
Earlier work this paper cites.
R. Geroch, A. Held, and R. Penrose, A space-time calculus based on pairs of null directions, J. Math. Phys. 14
1973
Earlier work this paper cites.
Y. B. Zel’dovich and A. G. Polnarev, Radiation of gravitational waves by a cluster of superdense stars, Sov. Astron. 18
1974
Earlier work this paper cites.
S. L. Detweiler, Black Holes and Gravitational Waves. III. The Resonant Frequencies of Rotating Holes, Astrophys. J. 239
1980
Earlier work this paper cites.
E. W. Leaver, An Analytic representation for the quasi normal modes of Kerr black holes, Proc. Roy. Soc. Lond. A 402
1985
Earlier work this paper cites.

Similar

O. M. Moreschi, On angular momentum at future null infinity, Class. Quantum Gravity 3
1986
Cited alongside, same era.
V. B. Braginsky and K. S. Thorne, Gravitational-wave bursts with memory and experimental prospects, Nature 327
1987
Cited alongside, same era.
O. M. Moreschi, Supercenter of Mass System at Future Null Infinity, Class. Quant. Grav. 5
1988
Cited alongside, same era.
D. Christodoulou, Nonlinear nature of gravitation and gravitational-wave experiments, Phys. Rev. Lett. 67
1991
Cited alongside, same era.
K. S. Thorne, Gravitational-wave bursts with memory: The Christodoulou effect, Phys. Rev. D 45
1992
Cited alongside, same era.
O. M. Moreschi and S. Dain, Rest frame system for asymptotically flat space-times, J. Math. Phys. 39

Then

D. A. B. Iozzo, M. Boyle, N. Deppe, J. Moxon, M. A. Scheel, L. E. Kidder, H. P. Pfeiffer, and S. A. Teukolsky, Extending gravitational wave extraction using Weyl characteristic fields, Phys. Rev. D 103
Original
2010
Later among the works it cites.
K. Mitman et al. , Adding gravitational memory to waveform catalogs using BMS balance laws, Phys. Rev. D 103
Original
2011
Later among the works it cites.
J. Bellovary et al. (NASA LISA Study Team), Getting Ready for LISA: The Data, Support and Preparation Needed to Maximize US Participation in Space-Based Gravitational Wave Science, arXiv:2012.02650 [astro-ph.IM]
Original
2012
Later among the works it cites.
F. Gao and L. Han, Implementing the nelder-mead simplex algorithm with adaptive parameters, Computational Optimization and Applications 51
2012
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…

1998

Cited alongside, same era.

S. Dain and O. M. Moreschi, General existence proof for rest frame systems in asymptotically flat space-time, Class. Quant. Grav. 17

2000

Cited alongside, same era.

E. Barausse et al. , Prospects for Fundamental Physics with LISA, Gen. Rel. Grav. 52

Original

2001

Cited alongside, same era.

O. Sarbach and M. Tiglio, Gauge invariant perturbations of Schwarzschild black holes in horizon penetrating coordinates, Phys. Rev. D 64

2001

Cited alongside, same era.

I. Guyon and A. Elisseeff, An introduction to variable and feature selection, J. Mach. Learn. Res. 3

2003

Cited alongside, same era.

G. B. Cook, Aspects of multimode Kerr ringdown fitting, Phys. Rev. D 102

Original

2004

Cited alongside, same era.

F. Pretorius, Evolution of binary black hole spacetimes, Phys. Rev. Lett. 95

2005

Cited alongside, same era.

M. Boyle, Angular velocity of gravitational radiation from precessing binaries and the corotating frame, Phys. Rev. D 87

Original

2013