Built on

A. Antonelli, A. Buonanno, J. Steinhoff, M. van de Meent and J. Vines, Energetics of two-body Hamiltonians in post-Minkowskian gravity , Phys. Rev. D99
Original
1901
Earlier work this paper cites.
B. Zackay, T. Venumadhav, L. Dai, J. Roulet and M. Zaldarriaga, Highly spinning and aligned binary black hole merger in the Advanced LIGO first observing run , Phys. Rev. D100
Original
1902
Earlier work this paper cites.
S. Foffa, P. Mastrolia, R. Sturani, C. Sturm and W. J. Torres Bobadilla, Static two-body potential at fifth post-Newtonian order , Phys. Rev. Lett. 122
Original
1902
Earlier work this paper cites.
J. Blümlein, A. Maier and P. Marquard, Five-Loop Static Contribution to the Gravitational Interaction Potential of Two Point Masses , 1902.11180
Original
1902
Earlier work this paper cites.
S. Foffa and R. Sturani, Conservative dynamics of binary systems to fourth Post-Newtonian order in the EFT approach I: Regularized Lagrangian , 1903.05113
Original
1903
Earlier work this paper cites.
S. Foffa, R. A. Porto, I. Rothstein and R. Sturani, Conservative dynamics of binary systems to fourth Post-Newtonian order in the EFT approach II: Renormalized Lagrangian , Phys. Rev. D100
Original
1903
Earlier work this paper cites.
Y. F. Bautista and A. Guevara, From Scattering Amplitudes to Classical Physics: Universality, Double Copy and Soft Theorems , 1903.12419
Original
1903
Earlier work this paper cites.
T. Venumadhav, B. Zackay, J. Roulet, L. Dai and M. Zaldarriaga, New Binary Black Hole Mergers in the Second Observing Run of Advanced LIGO and Advanced Virgo , 1904.07214
Original
1904
Earlier work this paper cites.
A. Koemans Collado, P. Di Vecchia and R. Russo, Revisiting the second post-Minkowskian eikonal and the dynamics of binary black holes , Phys. Rev. D100
Original
1904
Earlier work this paper cites.
B. Maybee, D. O’Connell and J. Vines, Observables and amplitudes for spinning particles and black holes , 1906.09260
Original
1906
Earlier work this paper cites.
J. Plefka, C. Shi, J. Steinhoff and T. Wang, Breakdown of the classical double copy for the effective action of dilaton-gravity at NNLO , 1906.05875
Original
1906
Earlier work this paper cites.
A. Cristofoli, N. E. J. Bjerrum-Bohr, P. H. Damgaard and P. Vanhove, On Post-Minkowskian Hamiltonians in General Relativity , 1906.01579
Original
1906
Earlier work this paper cites.
H. Johansson and A. Ochirov, Double copy for massive quantum particles with spin , JHEP 09
Original
1906
Earlier work this paper cites.
N. Arkani-Hamed, Y.-t. Huang and D. O’Connell, Kerr Black Holes as Elementary Particles , 1906.10100
Original
1906
Earlier work this paper cites.
A. Guevara, A. Ochirov and J. Vines, Black-hole scattering with general spin directions from minimal-coupling amplitudes , 1906.10071
Original
1906
Earlier work this paper cites.
Z. Bern, C. Cheung, R. Roiban, C.-H. Shen, M. P. Solon and M. Zeng, Black Hole Binary Dynamics from the Double Copy and Effective Theory , 1908.01493
Original
1908
Earlier work this paper cites.
M.-Z. Chung, Y.-T. Huang and J.-W. Kim, From quantized spins to rotating black holes , 1908.08463
Original
1908
Earlier work this paper cites.
Y. F. Bautista and A. Guevara, On the Double Copy for Spinning Matter , 1908.11349
Original
1908
Earlier work this paper cites.
Z. Bern, J. J. Carrasco, M. Chiodaroli, H. Johansson and R. Roiban, The Duality Between Color and Kinematics and its Applications , 1909.01358
Original
1909
Earlier work this paper cites.
N. Siemonsen and J. Vines, Test black holes, scattering amplitudes and perturbations of Kerr spacetime , 1909.07361
Original
1909
Earlier work this paper cites.
D. Bini, T. Damour and A. Geralico, Novel approach to binary dynamics: application to the fifth post-Newtonian level , 1909.02375
Original
1909
Earlier work this paper cites.
N. E. J. Bjerrum-Bohr, A. Cristofoli and P. H. Damgaard, Post-Minkowskian Scattering Angle in Einstein Gravity , 1910.09366
Original
1910
Earlier work this paper cites.
O. B. Firsov, Determination of the forces acting between atoms using the differential effective cross-section for elastic scattering , ZhETP 24
1953
Earlier work this paper cites.
L. Landau and E. Lifshitz, Mechanics (Mekhanika) , Volume 1 of A Course of Theoretical Physics. Pergamon Press, 1969
1969
Earlier work this paper cites.
Y. Iwasaki, Quantum theory of gravitation vs. classical theory. - fourth-order potential , Prog. Theor. Phys. 46
1971
Earlier work this paper cites.
K. Westpfahl and M. Goller, GRAVITATIONAL SCATTERING OF TWO RELATIVISTIC PARTICLES IN POSTLINEAR APPROXIMATION , Lett. Nuovo Cim. 26
1979
Earlier work this paper cites.
T. Damour and N. Deruelle, General relativistic celestial mechanics of binary systems. I. The post-newtonian motion , Annales de l’l.H.P. Physique theorique, 43
1985
Earlier work this paper cites.
Z. Bern, L. Dixon, D. C. Dunbar and D. A. Kosower, One-Loop n-Point Gauge Theory Amplitudes, Unitarity and Collinear Limits , Nuclear Physics B 425
1994
Earlier work this paper cites.
Z. Bern, L. Dixon, D. C. Dunbar and D. A. Kosower, Fusing Gauge Theory Tree Amplitudes Into Loop Amplitudes , Nuclear Physics B 435
1995
Earlier work this paper cites.

Similar

L. J. Dixon, Calculating scattering amplitudes efficiently , in QCD and beyond. Proceedings, Theoretical Advanced Study Institute in Elementary Particle Physics, TASI-95, Boulder, USA, June 4-30, 1995 , pp. 539–584, 1996, hep-ph/9601359
1996
Cited alongside, same era.
M. Beneke and V. A. Smirnov, Asymptotic expansion of Feynman integrals near threshold , Nucl. Phys. B522
1998
Cited alongside, same era.
T. Damour, P. Jaranowski and G. Schaefer, Dynamical invariants for general relativistic two-body systems at the third post-Newtonian approximation , Physical Review D 62
2000
Cited alongside, same era.
W. D. Goldberger and I. Z. Rothstein, An Effective field theory of gravity for extended objects , Phys. Rev. D73
2006
Cited alongside, same era.
R. A. Porto, Post-Newtonian Corrections to the Motion of Spinning Bodies in NRGR , Phys. Rev. D 73
2006

Then

C. Galley, A. Leibovich, R. A. Porto and A. Ross, Tail Effect in Gravitational Radiation Reaction: Time Nonlocality and Renormalization Group Evolution , Phys. Rev. D 93
Original
2016
Later among the works it cites.
T. Damour, Gravitational scattering, post-Minkowskian approximation and Effective One-Body theory , Phys. Rev. D94
Original
2016
Later among the works it cites.
T. Damour and A. Nagar, The Effective-One-Body Approach to the General Relativistic Two Body Problem , Lect. Notes Phys. 905
2016
Later among the works it cites.
A. I. Harte and J. Vines, Generating exact solutions to Einstein’s equation using linearized approximations , Phys. Rev. D94
Original
2016
Later among the works it cites.
LIGO Scientific, Virgo
Original

Beyond the bibliography

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Reading the bibliography…

2019

From Boundary Data to Bound States

Kälin, Gregor, Porto, Rafael A.

Understand

We introduce a -- somewhat holographic -- dictionary between gravitational observables for scattering processes (measured at the "boundary") and adiabatic invariants for bound orbits (in the "bulk"), to all orders in the Post-Minkowskian (PM) expansion.

Our map relies on remarkable connections between the relative momentum of the two-body problem, the classical limit of the scattering amplitude and the deflection angle in hyperbolic motion.
These relationships allow us to compute observables for generic orbits (such as the periastron advance $\Delta\Phi$) through analytic continuation, via a radial action depending only on boundary data.
A simplified (more geometrical) map can be obtained for circular orbits, enabling us to extract the orbital frequency as a function of the (conserved) binding energy, $\Omega(E)$, directly from scattering information.

Built on

A. Antonelli, A. Buonanno, J. Steinhoff, M. van de Meent and J. Vines, Energetics of two-body Hamiltonians in post-Minkowskian gravity , Phys. Rev. D99
Original
1901
Earlier work this paper cites.
B. Zackay, T. Venumadhav, L. Dai, J. Roulet and M. Zaldarriaga, Highly spinning and aligned binary black hole merger in the Advanced LIGO first observing run , Phys. Rev. D100
Original
1902
Earlier work this paper cites.
S. Foffa, P. Mastrolia, R. Sturani, C. Sturm and W. J. Torres Bobadilla, Static two-body potential at fifth post-Newtonian order , Phys. Rev. Lett. 122
Original
1902
Earlier work this paper cites.
J. Blümlein, A. Maier and P. Marquard, Five-Loop Static Contribution to the Gravitational Interaction Potential of Two Point Masses , 1902.11180
Original
1902
Earlier work this paper cites.
S. Foffa and R. Sturani, Conservative dynamics of binary systems to fourth Post-Newtonian order in the EFT approach I: Regularized Lagrangian , 1903.05113
Original
1903
Earlier work this paper cites.
S. Foffa, R. A. Porto, I. Rothstein and R. Sturani, Conservative dynamics of binary systems to fourth Post-Newtonian order in the EFT approach II: Renormalized Lagrangian , Phys. Rev. D100
Original
1903
Earlier work this paper cites.
Y. F. Bautista and A. Guevara, From Scattering Amplitudes to Classical Physics: Universality, Double Copy and Soft Theorems , 1903.12419
Original
1903
Earlier work this paper cites.
T. Venumadhav, B. Zackay, J. Roulet, L. Dai and M. Zaldarriaga, New Binary Black Hole Mergers in the Second Observing Run of Advanced LIGO and Advanced Virgo , 1904.07214
Original
1904
Earlier work this paper cites.
A. Koemans Collado, P. Di Vecchia and R. Russo, Revisiting the second post-Minkowskian eikonal and the dynamics of binary black holes , Phys. Rev. D100
Original
1904
Earlier work this paper cites.
B. Maybee, D. O’Connell and J. Vines, Observables and amplitudes for spinning particles and black holes , 1906.09260
Original
1906
Earlier work this paper cites.
J. Plefka, C. Shi, J. Steinhoff and T. Wang, Breakdown of the classical double copy for the effective action of dilaton-gravity at NNLO , 1906.05875
Original
1906
Earlier work this paper cites.
A. Cristofoli, N. E. J. Bjerrum-Bohr, P. H. Damgaard and P. Vanhove, On Post-Minkowskian Hamiltonians in General Relativity , 1906.01579
Original
1906
Earlier work this paper cites.
H. Johansson and A. Ochirov, Double copy for massive quantum particles with spin , JHEP 09
Original
1906
Earlier work this paper cites.
N. Arkani-Hamed, Y.-t. Huang and D. O’Connell, Kerr Black Holes as Elementary Particles , 1906.10100
Original
1906
Earlier work this paper cites.
A. Guevara, A. Ochirov and J. Vines, Black-hole scattering with general spin directions from minimal-coupling amplitudes , 1906.10071
Original
1906
Earlier work this paper cites.
Z. Bern, C. Cheung, R. Roiban, C.-H. Shen, M. P. Solon and M. Zeng, Black Hole Binary Dynamics from the Double Copy and Effective Theory , 1908.01493
Original
1908
Earlier work this paper cites.
M.-Z. Chung, Y.-T. Huang and J.-W. Kim, From quantized spins to rotating black holes , 1908.08463
Original
1908
Earlier work this paper cites.
Y. F. Bautista and A. Guevara, On the Double Copy for Spinning Matter , 1908.11349
Original
1908
Earlier work this paper cites.
Z. Bern, J. J. Carrasco, M. Chiodaroli, H. Johansson and R. Roiban, The Duality Between Color and Kinematics and its Applications , 1909.01358
Original
1909
Earlier work this paper cites.
N. Siemonsen and J. Vines, Test black holes, scattering amplitudes and perturbations of Kerr spacetime , 1909.07361
Original
1909
Earlier work this paper cites.
D. Bini, T. Damour and A. Geralico, Novel approach to binary dynamics: application to the fifth post-Newtonian level , 1909.02375
Original
1909
Earlier work this paper cites.
N. E. J. Bjerrum-Bohr, A. Cristofoli and P. H. Damgaard, Post-Minkowskian Scattering Angle in Einstein Gravity , 1910.09366
Original
1910
Earlier work this paper cites.
O. B. Firsov, Determination of the forces acting between atoms using the differential effective cross-section for elastic scattering , ZhETP 24
1953
Earlier work this paper cites.
L. Landau and E. Lifshitz, Mechanics (Mekhanika) , Volume 1 of A Course of Theoretical Physics. Pergamon Press, 1969
1969
Earlier work this paper cites.
Y. Iwasaki, Quantum theory of gravitation vs. classical theory. - fourth-order potential , Prog. Theor. Phys. 46
1971
Earlier work this paper cites.
K. Westpfahl and M. Goller, GRAVITATIONAL SCATTERING OF TWO RELATIVISTIC PARTICLES IN POSTLINEAR APPROXIMATION , Lett. Nuovo Cim. 26
1979
Earlier work this paper cites.
T. Damour and N. Deruelle, General relativistic celestial mechanics of binary systems. I. The post-newtonian motion , Annales de l’l.H.P. Physique theorique, 43
1985
Earlier work this paper cites.
Z. Bern, L. Dixon, D. C. Dunbar and D. A. Kosower, One-Loop n-Point Gauge Theory Amplitudes, Unitarity and Collinear Limits , Nuclear Physics B 425
1994
Earlier work this paper cites.
Z. Bern, L. Dixon, D. C. Dunbar and D. A. Kosower, Fusing Gauge Theory Tree Amplitudes Into Loop Amplitudes , Nuclear Physics B 435
1995
Earlier work this paper cites.

Similar

L. J. Dixon, Calculating scattering amplitudes efficiently , in QCD and beyond. Proceedings, Theoretical Advanced Study Institute in Elementary Particle Physics, TASI-95, Boulder, USA, June 4-30, 1995 , pp. 539–584, 1996, hep-ph/9601359
1996
Cited alongside, same era.
M. Beneke and V. A. Smirnov, Asymptotic expansion of Feynman integrals near threshold , Nucl. Phys. B522
1998
Cited alongside, same era.
T. Damour, P. Jaranowski and G. Schaefer, Dynamical invariants for general relativistic two-body systems at the third post-Newtonian approximation , Physical Review D 62
2000
Cited alongside, same era.
W. D. Goldberger and I. Z. Rothstein, An Effective field theory of gravity for extended objects , Phys. Rev. D73
2006
Cited alongside, same era.
R. A. Porto, Post-Newtonian Corrections to the Motion of Spinning Bodies in NRGR , Phys. Rev. D 73
2006

Then

C. Galley, A. Leibovich, R. A. Porto and A. Ross, Tail Effect in Gravitational Radiation Reaction: Time Nonlocality and Renormalization Group Evolution , Phys. Rev. D 93
Original
2016
Later among the works it cites.
T. Damour, Gravitational scattering, post-Minkowskian approximation and Effective One-Body theory , Phys. Rev. D94
Original
2016
Later among the works it cites.
T. Damour and A. Nagar, The Effective-One-Body Approach to the General Relativistic Two Body Problem , Lect. Notes Phys. 905
2016
Later among the works it cites.
A. I. Harte and J. Vines, Generating exact solutions to Einstein’s equation using linearized approximations , Phys. Rev. D94
Original
2016
Later among the works it cites.
LIGO Scientific, Virgo
Original

Beyond the bibliography

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

Open on alphaXiv

alphaXiv is searching for related work…

Cited alongside, same era.

R. A. Porto and I. Rothstein, The Hyperfine Einstein-Infeld-Hoffmann Potential , Phys. Rev. Lett. 97

2006

Cited alongside, same era.

W. Goldberger and I. Rothstein, Dissipative Effects in the Worldline Approach to Black Hole Dynamics , Phys. Rev. D 73

2006

Cited alongside, same era.

Z. Bern, J. J. M. Carrasco and H. Johansson, New Relations for Gauge-Theory Amplitudes , Physical Review D 78

2008

Cited alongside, same era.

R. A. Porto and I. Rothstein, Spin(1)Spin(2) Effects in the Motion of Inspiralling Compact Binaries at Third Order in the Post-Newtonian Expansion , Phys. Rev. D 78