Built on

C. P. L. Berry, S. A. Hughes, C. F. Sopuerta, A. J. K. Chua, A. Heffernan, K. Holley-Bockelmann, D. P. Mihaylov, M. C. Miller, and A. Sesana, The unique potential of extreme mass-ratio inspirals for gravitational-wave astronomy, (2019) , arXiv:1903.03686
Original
1903
Earlier work this paper cites.
Z. Nasipak, T. Osburn, and C. R. Evans, Repeated faint quasinormal bursts in extreme-mass-ratio inspiral waveforms: Evidence from frequency-domain scalar self-force calculations on generic Kerr orbits, Phys. Rev. D 100
Original
1905
Earlier work this paper cites.
M. Van De Meent, Analytic solutions for parallel transport along generic bound geodesics in Kerr spacetime, Class. Quantum Gravity 37
Original
1906
Earlier work this paper cites.
A. Pound, B. Wardell, N. Warburton, and J. Miller, Second-Order Self-Force Calculation of Gravitational Binding Energy in Compact Binaries, Phys. Rev. Lett. 124
Original
1908
Earlier work this paper cites.
O. Burke, J. Gair, and J. Simón, Transition from inspiral to plunge: A complete near-extremal trajectory and associated waveform, Phys. Rev. D 101
Original
1909
Earlier work this paper cites.
L. C. Stein and N. Warburton, Location of the last stable orbit in Kerr spacetime, Phys. Rev. D 101
Original
1912
Earlier work this paper cites.
B. Carter, Global structure of the kerr family of gravitational fields, Phys. Rev. 174
1968
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.
P. L. Chrzanowski, Vector Potential and Metric Perturbations of a Rotating Black Hole, Phys. Rev. D 11
1975
Earlier work this paper cites.
R. M. Wald, Construction of Solutions of Gravitational, Electromagnetic, Or Other Perturbation Equations from Solutions of Decoupled Equations, Phys. Rev. Lett. 41
1978
Earlier work this paper cites.
L. S. Kegeles and J. M. Cohen, CONSTRUCTIVE PROCEDURE FOR PERTURBATIONS OF SPACE-TIMES, Phys. Rev. D 19
1979
Earlier work this paper cites.
J. Kevorkian, Perturbation Techniques for Oscillatory Systems With Slowly Varying Coefficients., SIAM Rev. 29
1987
Earlier work this paper cites.
C. Cutler, D. Kennefick, and E. Poisson, Gravitational radiation reaction for bound motion around a Schwarzschild black hole, Phys. Rev. D 50
1994
Earlier work this paper cites.
S. Mano, H. Suzuki, and E. Takasugi, Analytic solutions of the Teukolsky equation and their low frequency expansions, Prog. Theor. Phys. 95
1996
Earlier work this paper cites.
B. J. Owen, Search templates for gravitational waves from inspiraling binaries: Choice of template spacing, Phys. Rev. D - Part. Fields, Gravit. Cosmol. 53
1996
Earlier work this paper cites.
Y. Mino, M. Sasaki, and T. Tanaka, Gravitational radiation reaction to a particle motion, Phys. Rev. D 55
1997
Earlier work this paper cites.
T. C. Quinn and R. M. Wald, An Axiomatic approach to electromagnetic and gravitational radiation reaction of particles in curved space-time, Phys. Rev. D 56
1997
Earlier work this paper cites.
S. Mano and E. Takasugi, Analytic solutions of the Teukolsky equation and their properties, Prog. Theor. Phys. 97
1997
Earlier work this paper cites.
S. A. Hughes, Measuring gravitational waves from binary black hole coalescences. I. Signal to noise for inspiral, merger, and ringdown, Phys. Rev. D - Part. Fields, Gravit. Cosmol. 57
1998
Earlier work this paper cites.
L. Barack and A. Ori, Mode sum regularization approach for the selfforce in black hole space-time, Phys. Rev. D 61
2000
Earlier work this paper cites.
S. A. Hughes, Evolution of circular, nonequatorial orbits of Kerr black holes due to gravitational-wave emission, Phys. Rev. D - Part. Fields, Gravit. Cosmol. 61
2000
Earlier work this paper cites.
K. S. Thorne, Transition from inspiral to plunge for a compact body in a circular equatorial orbit around a massive, spinning black hole, Phys. Rev. D - Part. Fields, Gravit. Cosmol. 62
2000
Earlier work this paper cites.
L. Barack and A. Ori, Gravitational selfforce and gauge transformations, Phys. Rev. D 64
2001
Earlier work this paper cites.
S. A. Hughes, Evolution of circular, nonequatorial orbits of Kerr black holes due to gravitational-wave emission. II. Inspiral trajectories and gravitational waveforms, Phys. Rev. D 64
2001
Earlier work this paper cites.
D. Kennefick, Approximating the inspiral of test bodies into Kerr black holes, Phys. Rev. D - Part. Fields, Gravit. Cosmol. 66
2002
Earlier work this paper cites.
W. Schmidt, Class. Quantum Gravity , Tech. Rep. 10 (2002) arXiv:0202090 [gr-qc]
2002
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 66
2002
Earlier work this paper cites.
Y. Mino, Perturbative approach to an orbital evolution around a supermassive black hole, Phys. Rev. D - Part. Fields, Gravit. Cosmol. 67
2003
Earlier work this paper cites.
S. L. Detweiler and B. F. Whiting, Selfforce via a Green’s function decomposition, Phys. Rev. D 67
2003
Earlier work this paper cites.
L. Barack and C. Cutler, LISA capture sources: Approximate waveforms, signal-to-noise ratios, and parameter estimation accuracy, Phys. Rev. D - Part. Fields, Gravit. Cosmol. 69
2004
Earlier work this paper cites.
R. Fujita and H. Tagoshi, New numerical methods to evaluate homogeneous solutions of the Teukolsky equation, Prog. Theor. Phys. 112
2004
Earlier work this paper cites.
S. A. Hughes, S. Drasco, E. E. Flanagan, and J. Franklin, Gravitational radiation reaction and inspiral waveforms in the adiabatic limit, Phys. Rev. Lett. 94
2005
Earlier work this paper cites.
K. A. Arnaud, S. Babak, J. G. Baker, M. J. Benacquista, N. J. Cornish, C. Cutler, S. L. Larson, B. S. Sathyaprakash, M. Vallisneri, A. Vecchio, and J. Y. Vinet, An overview of the mock LISA data challenges, in AIP Conf. Proc. , Vol. 873 (2006) pp. 619–624, arXiv:0609105 [gr-qc]
2006
Earlier work this paper cites.
M. Van De Meent and H. P. Pfeiffer, Intermediate Mass-Ratio Black Hole Binaries: Applicability of Small Mass-Ratio Perturbation Theory, Phys. Rev. Lett. 125
Original
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 103
Original
2006
Earlier work this paper cites.

Similar

S. Babak, H. Fang, J. R. Gair, K. Glampedakis, and S. A. Hughes, ”kludge” gravitational waveforms for a test-body orbiting a Kerr black hole, Phys. Rev. D - Part. Fields, Gravit. Cosmol. 75
2007
Cited alongside, same era.
L. Barack and N. Sago, Gravitational self-force on a particle in circular orbit around a Schwarzschild black hole, Phys. Rev. D - Part. Fields, Gravit. Cosmol. 75
2007
Cited alongside, same era.
A. J. Chua, M. L. Katz, N. Warburton, and S. A. Hughes, Rapid Generation of Fully Relativistic Extreme-Mass-Ratio-Inspiral Waveform Templates for LISA Data Analysis, Phys. Rev. Lett. 126
Original
2008
Cited alongside, same era.
T. Hinderer and É. É. Flanagan, Two-timescale analysis of extreme mass ratio inspirals in Kerr spacetime: Orbital motion, Phys. Rev. D - Part. Fields, Gravit. Cosmol. 78
Original
2008
Cited alongside, same era.

Then

É. E. Flanagan, S. A. Hughes, and U. Ruangsri, Resonantly enhanced and diminished strong-field gravitational-wave fluxes, Phys. Rev. D - Part. Fields, Gravit. Cosmol. 89
Original
2014
Later among the works it cites.
M. Van De Meent, Conditions for sustained orbital resonances in extreme mass ratio inspirals, Phys. Rev. D - Part. Fields, Gravit. Cosmol. 89
Original
2014
Later among the works it cites.
A. J. Chua and J. R. Gair, Improved analytic extreme-mass-ratio inspiral model for scoping out eLISA data analysis, Class. Quantum Gravity 32
Original
2015
Later among the works it cites.
A. Pound, Gauge and motion in perturbation theory, Phys. Rev. D 92
Original
2015
Later among the works it cites.
C. Merlin and A. G. Shah, Self-force from reconstructed metric perturbations: numerical implementation in Schwarzschild spacetime, Phys. Rev. D 91

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2021

Eccentric self-forced inspirals into a rotating black hole

Lynch, Philip, van de Meent, Maarten, Warburton, Niels

Understand

We develop the first model for extreme mass-ratio inspirals (EMRIs) into a rotating massive black hole driven by the gravitational self-force.

Our model is based on an action angle formulation of the method of osculating geodesics for eccentric, equatorial (i.e., spin-aligned) motion in Kerr spacetime.
The forcing terms are provided by an efficient spectral interpolation of the first-order gravitational self-force in the outgoing radiation gauge.
We apply a near-identity (averaging) transformation to eliminate all dependence of the orbital phases from the equations of motion, while maintaining all secular effects of the first-order gravitational self-force at post-adiabatic order.

Built on

C. P. L. Berry, S. A. Hughes, C. F. Sopuerta, A. J. K. Chua, A. Heffernan, K. Holley-Bockelmann, D. P. Mihaylov, M. C. Miller, and A. Sesana, The unique potential of extreme mass-ratio inspirals for gravitational-wave astronomy, (2019) , arXiv:1903.03686
Original
1903
Earlier work this paper cites.
Z. Nasipak, T. Osburn, and C. R. Evans, Repeated faint quasinormal bursts in extreme-mass-ratio inspiral waveforms: Evidence from frequency-domain scalar self-force calculations on generic Kerr orbits, Phys. Rev. D 100
Original
1905
Earlier work this paper cites.
M. Van De Meent, Analytic solutions for parallel transport along generic bound geodesics in Kerr spacetime, Class. Quantum Gravity 37
Original
1906
Earlier work this paper cites.
A. Pound, B. Wardell, N. Warburton, and J. Miller, Second-Order Self-Force Calculation of Gravitational Binding Energy in Compact Binaries, Phys. Rev. Lett. 124
Original
1908
Earlier work this paper cites.
O. Burke, J. Gair, and J. Simón, Transition from inspiral to plunge: A complete near-extremal trajectory and associated waveform, Phys. Rev. D 101
Original
1909
Earlier work this paper cites.
L. C. Stein and N. Warburton, Location of the last stable orbit in Kerr spacetime, Phys. Rev. D 101
Original
1912
Earlier work this paper cites.
B. Carter, Global structure of the kerr family of gravitational fields, Phys. Rev. 174
1968
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.
P. L. Chrzanowski, Vector Potential and Metric Perturbations of a Rotating Black Hole, Phys. Rev. D 11
1975
Earlier work this paper cites.
R. M. Wald, Construction of Solutions of Gravitational, Electromagnetic, Or Other Perturbation Equations from Solutions of Decoupled Equations, Phys. Rev. Lett. 41
1978
Earlier work this paper cites.
L. S. Kegeles and J. M. Cohen, CONSTRUCTIVE PROCEDURE FOR PERTURBATIONS OF SPACE-TIMES, Phys. Rev. D 19
1979
Earlier work this paper cites.
J. Kevorkian, Perturbation Techniques for Oscillatory Systems With Slowly Varying Coefficients., SIAM Rev. 29
1987
Earlier work this paper cites.
C. Cutler, D. Kennefick, and E. Poisson, Gravitational radiation reaction for bound motion around a Schwarzschild black hole, Phys. Rev. D 50
1994
Earlier work this paper cites.
S. Mano, H. Suzuki, and E. Takasugi, Analytic solutions of the Teukolsky equation and their low frequency expansions, Prog. Theor. Phys. 95
1996
Earlier work this paper cites.
B. J. Owen, Search templates for gravitational waves from inspiraling binaries: Choice of template spacing, Phys. Rev. D - Part. Fields, Gravit. Cosmol. 53
1996
Earlier work this paper cites.
Y. Mino, M. Sasaki, and T. Tanaka, Gravitational radiation reaction to a particle motion, Phys. Rev. D 55
1997
Earlier work this paper cites.
T. C. Quinn and R. M. Wald, An Axiomatic approach to electromagnetic and gravitational radiation reaction of particles in curved space-time, Phys. Rev. D 56
1997
Earlier work this paper cites.
S. Mano and E. Takasugi, Analytic solutions of the Teukolsky equation and their properties, Prog. Theor. Phys. 97
1997
Earlier work this paper cites.
S. A. Hughes, Measuring gravitational waves from binary black hole coalescences. I. Signal to noise for inspiral, merger, and ringdown, Phys. Rev. D - Part. Fields, Gravit. Cosmol. 57
1998
Earlier work this paper cites.
L. Barack and A. Ori, Mode sum regularization approach for the selfforce in black hole space-time, Phys. Rev. D 61
2000
Earlier work this paper cites.
S. A. Hughes, Evolution of circular, nonequatorial orbits of Kerr black holes due to gravitational-wave emission, Phys. Rev. D - Part. Fields, Gravit. Cosmol. 61
2000
Earlier work this paper cites.
K. S. Thorne, Transition from inspiral to plunge for a compact body in a circular equatorial orbit around a massive, spinning black hole, Phys. Rev. D - Part. Fields, Gravit. Cosmol. 62
2000
Earlier work this paper cites.
L. Barack and A. Ori, Gravitational selfforce and gauge transformations, Phys. Rev. D 64
2001
Earlier work this paper cites.
S. A. Hughes, Evolution of circular, nonequatorial orbits of Kerr black holes due to gravitational-wave emission. II. Inspiral trajectories and gravitational waveforms, Phys. Rev. D 64
2001
Earlier work this paper cites.
D. Kennefick, Approximating the inspiral of test bodies into Kerr black holes, Phys. Rev. D - Part. Fields, Gravit. Cosmol. 66
2002
Earlier work this paper cites.
W. Schmidt, Class. Quantum Gravity , Tech. Rep. 10 (2002) arXiv:0202090 [gr-qc]
2002
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 66
2002
Earlier work this paper cites.
Y. Mino, Perturbative approach to an orbital evolution around a supermassive black hole, Phys. Rev. D - Part. Fields, Gravit. Cosmol. 67
2003
Earlier work this paper cites.
S. L. Detweiler and B. F. Whiting, Selfforce via a Green’s function decomposition, Phys. Rev. D 67
2003
Earlier work this paper cites.
L. Barack and C. Cutler, LISA capture sources: Approximate waveforms, signal-to-noise ratios, and parameter estimation accuracy, Phys. Rev. D - Part. Fields, Gravit. Cosmol. 69
2004
Earlier work this paper cites.
R. Fujita and H. Tagoshi, New numerical methods to evaluate homogeneous solutions of the Teukolsky equation, Prog. Theor. Phys. 112
2004
Earlier work this paper cites.
S. A. Hughes, S. Drasco, E. E. Flanagan, and J. Franklin, Gravitational radiation reaction and inspiral waveforms in the adiabatic limit, Phys. Rev. Lett. 94
2005
Earlier work this paper cites.
K. A. Arnaud, S. Babak, J. G. Baker, M. J. Benacquista, N. J. Cornish, C. Cutler, S. L. Larson, B. S. Sathyaprakash, M. Vallisneri, A. Vecchio, and J. Y. Vinet, An overview of the mock LISA data challenges, in AIP Conf. Proc. , Vol. 873 (2006) pp. 619–624, arXiv:0609105 [gr-qc]
2006
Earlier work this paper cites.
M. Van De Meent and H. P. Pfeiffer, Intermediate Mass-Ratio Black Hole Binaries: Applicability of Small Mass-Ratio Perturbation Theory, Phys. Rev. Lett. 125
Original
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 103
Original
2006
Earlier work this paper cites.

Similar

S. Babak, H. Fang, J. R. Gair, K. Glampedakis, and S. A. Hughes, ”kludge” gravitational waveforms for a test-body orbiting a Kerr black hole, Phys. Rev. D - Part. Fields, Gravit. Cosmol. 75
2007
Cited alongside, same era.
L. Barack and N. Sago, Gravitational self-force on a particle in circular orbit around a Schwarzschild black hole, Phys. Rev. D - Part. Fields, Gravit. Cosmol. 75
2007
Cited alongside, same era.
A. J. Chua, M. L. Katz, N. Warburton, and S. A. Hughes, Rapid Generation of Fully Relativistic Extreme-Mass-Ratio-Inspiral Waveform Templates for LISA Data Analysis, Phys. Rev. Lett. 126
Original
2008
Cited alongside, same era.
T. Hinderer and É. É. Flanagan, Two-timescale analysis of extreme mass ratio inspirals in Kerr spacetime: Orbital motion, Phys. Rev. D - Part. Fields, Gravit. Cosmol. 78
Original
2008
Cited alongside, same era.

Then

É. E. Flanagan, S. A. Hughes, and U. Ruangsri, Resonantly enhanced and diminished strong-field gravitational-wave fluxes, Phys. Rev. D - Part. Fields, Gravit. Cosmol. 89
Original
2014
Later among the works it cites.
M. Van De Meent, Conditions for sustained orbital resonances in extreme mass ratio inspirals, Phys. Rev. D - Part. Fields, Gravit. Cosmol. 89
Original
2014
Later among the works it cites.
A. J. Chua and J. R. Gair, Improved analytic extreme-mass-ratio inspiral model for scoping out eLISA data analysis, Class. Quantum Gravity 32
Original
2015
Later among the works it cites.
A. Pound, Gauge and motion in perturbation theory, Phys. Rev. D 92
Original
2015
Later among the works it cites.
C. Merlin and A. G. Shah, Self-force from reconstructed metric perturbations: numerical implementation in Schwarzschild spacetime, Phys. Rev. D 91

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. Pound and E. Poisson, Osculating orbits in Schwarzschild spacetime, with an application to extreme mass-ratio inspirals, Phys. Rev. D - Part. Fields, Gravit. Cosmol. 77

Original

2008

Cited alongside, same era.

R. Fujita and M. Shibata, Extreme mass ratio inspirals on the equatorial plane in the adiabatic order, Phys. Rev. D 102

Original

2008

Cited alongside, same era.

L. Lindblom, B. J. Owen, and D. A. Brown, Model waveform accuracy standards for gravitational wave data analysis, Phys. Rev. D - Part. Fields, Gravit. Cosmol. 78

Original

2008

Cited alongside, same era.

P. A. Sundararajan, Transition from adiabatic inspiral to geodesic plunge for a compact object around a massive Kerr black hole: Generic orbits, Phys. Rev. D - Part. Fields, Gravit. Cosmol. 77