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The paper gives full details of the computation within the canonical formalism of Arnowitt, Deser, and Misner of the local-in-time part of the fourth post-Newtonian, i.e.
A. Einstein, “Erklärung der Perihelbewegung des Merkur aus der allgemeinen Relativitätstheorie,” Königl. Preuss. Akad. Wiss. (Berlin), Sitzber. XLVII
1915
Earlier work this paper cites.
A. Einstein, “Die Feldgleichungen der Gravitation,” Königl. Preuss. Akad. Wiss. (Berlin), Sitzber. XLVIII
1915
Earlier work this paper cites.
F. W. Dyson, A. S. Eddington, and C. Davidson, “A determination of the deflection of light by the Sun’s gravitational field, from observations made at the total eclipse of May 29, 1919,” Phil. Trans. R. Astron. Soc. (London) 220A
1920
Earlier work this paper cites.
A. Einstein, L. Infeld, and B. Hoffmann, “The gravitational equations and the problem of motion,” Ann. Math. 39
1938
Earlier work this paper cites.
M. Riesz, “L’intégrale de Riemann-Liouville et le problème de Cauchy,” Acta Math. 81
1949
Earlier work this paper cites.
L. Infeld and J. Plebański, Motion and Relativity
1960
Earlier work this paper cites.
D. R. Brill and R. W. Linquist, “Interaction energy in geometrostatics,” Phys. Rev. 131
1963
Earlier work this paper cites.
I. M. Gel’fand and G. E. Shilov, Generalized Functions
1964
Earlier work this paper cites.
T. Kimura and T. Toiya, “Potential in the canonical formalism of gravity,” Prog. Theor. Phys. 48
1972
Earlier work this paper cites.
G. ’t Hooft and M. Veltman, “Regularization and renormalization of gauge fields,” Nucl. Phys. B44
1972
Earlier work this paper cites.
T. Regge and T. Teitelboim, “Role of surface integrals in the Hamiltonian formulation of general relativity,” Ann. Phys. (N.Y.) 88
1974
Earlier work this paper cites.
T. Ohta, H. Okamura, T. Kimura, and K. Hiida, “Coordinate condition and higher order gravitational potential in canonical formalism,” Prog. Theor. Phys. 51
1974
Earlier work this paper cites.
1975
Earlier work this paper cites.
J. H. Taylor, L. A. Fowler, and P. M. McCulloch, “Measurements of general relativistic effects in the binary pulsar PSR 1913 + 16,” Nature (London) 277
1979
Earlier work this paper cites.
T. Damour, “Masses ponctuelles en relativité générale,” C. R. Acad. Sci. Paris, Série A 291
1980
Earlier work this paper cites.
T. Damour, “Gravitational radiation and the motion of compact bodies,” in Gravitational Radiation
1983
Earlier work this paper cites.
J. C. Collins, Renormalization
1984
Earlier work this paper cites.
G. Schäfer, “Acceleration-dependent Lagrangians in general relativity,” Phys. Lett. 100A
1984
Earlier work this paper cites.
G. Schäfer, “The gravitational quadrupole radiation-reaction force and the canonical formalism of ADM,” Ann. Phys. (NY) 161
1985
Earlier work this paper cites.
S. M. Kopeikin, “General relativistic equations of binary motion for extended bodies with conservative corrections and radiation damping,” Sov. Astron. 29
1985
Earlier work this paper cites.
L. Blanchet and T. Damour, “Radiative gravitational fields in general relativity. I. General structure of the field outside the source,” Phil. Trans. R. Soc. Lond. A 320
1986
Earlier work this paper cites.
T. Damour and G. Schäfer, “Le problème des deux corps en relativité générale,” C. R. Acad. Sci. Paris, série II 305
1987
Earlier work this paper cites.
T. Damour and G. Schäfer, “Higher-order relativistic periastron advances and binary pulsars,” Nuovo Cimento B 101
1988
Earlier work this paper cites.
L. Blanchet and T. Damour, “Tail-transported temporal correlations in the dynamics of a gravitating system,” Phys. Rev. D 37
1988
Earlier work this paper cites.
J. M. Weisberg, R. W. Romani, and J. H. Taylor, “Evidence for geodetic spin precession in the binary pulsar PSR 1913+16,” Astrophys. J. 347
1989
Earlier work this paper cites.
L. Blanchet and G. Schäfer, “Higher order gravitational radiation losses in binary systems,” Mon. Not. R. Astron. Soc. 239
1990
Earlier work this paper cites.
T. Damour and G. Schäfer, “Redefinition of position variables and the reduction of higher order Lagrangians,” J. Math. Phys. 32
1991
Earlier work this paper cites.
L. S. Brown, Quantum Field Theory
1992
Earlier work this paper cites.
J. C. Collins and F. V. Tkachov, “Breakdown of dimensional regularization in the Sudakov problem,” Phys. Lett. B 294
1992
Cited alongside, same era.
H. Georgi, “Effective field theory,” Ann. Rev. Nucl. Part. Sci. 43
1993
Cited alongside, same era.
P. Jaranowski and G. Schäfer, “Radiative 3.5 post-Newtonian ADM Hamiltonian for many-body point-mass systems,” Phys. Rev. D 55
1997
Cited alongside, same era.
P. Jaranowski, “Technicalities in the calculation of the 3rd post-Newtonian dynamics,” in Mathematics of Gravitation. Part II. Gravitational Wave Detection
1997
Cited alongside, same era.
P. Jaranowski and G. Schäfer, “Binary black-hole problem at the third post-Newtonian approximation in the orbital motion: Static part,” Phys. Rev. D 60
1999
Cited alongside, same era.
M. Punturo et al
2010
Later among the works it cites.
T. Damour, “Gravitational self force in a Schwarzschild background and the effective one body formalism,” Phys. Rev. D 81
2010
Later among the works it cites.
L. Blanchet, S. L. Detweiler, A. Le Tiec, and B. F. Whiting, “High-order post-Newtonian fit of the gravitational self-force for circular orbits in the Schwarzschild geometry,” Phys. Rev. D 81
2010
Later among the works it cites.
S. Kopeikin, M. Efroimsky, and G. Kaplan, Relativistic Celestial Mechanics of the Solar System
2011
Later among the works it cites.
L. Baiotti, T. Damour, B. Giacomazzo, A. Nagar, and L. Rezzolla, “Accurate numerical simulations of inspiralling binary neutron stars and their comparison with effective-one-body analytical models,” Phys. Rev. D 84
2011
Later among the works it cites.
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P. Jaranowski and G. Schäfer, “Third post-Newtonian higher order Hamilton dynamics for two-body point-mass systems,” Phys. Rev. D 57
2000
Cited alongside, same era.
P. Jaranowski and G. Schäfer, “The binary black-hole dynamics at the third post-Newtonian order in the orbital motion,” Ann. Phys. (Leipzig) 9
2000
Cited alongside, same era.
T. Damour, P. Jaranowski, and G. Schäfer, “Poincaré invariance in the ADM Hamiltonian approach to the general relativistic two-body problem,” Phys. Rev. D 62
2000
Cited alongside, same era.
P. Jaranowski and G. Schäfer, “Bare masses in time-symmetric initial-value solutions for two black holes,” Phys. Rev. D 61
2000
Cited alongside, same era.
L. Blanchet and G. Faye, “Hadamard regularization,” J. Math. Phys. 41
2000
Cited alongside, same era.
L. Blanchet and G. Faye, “On the equations of motion of point-particle binaries at the third post-Newtonian order,” Phys. Lett. A271
2000
Cited alongside, same era.
T. Damour, P. Jaranowski, and G. Schäfer, “Dynamical invariants for general relativistic two-body systems at the third post-Newtonian approximation,” Phys. Rev. D 62
2000
Cited alongside, same era.
J. Steinhoff, “Canonical formulation of spin in general relativity,” Ann. Phys. (Berlin) 523
2011
Later among the works it cites.
S. Foffa and R. Sturani, “Effective field theory calculation of conservative binary dynamics at third post-Newtonian order,” Phys. Rev. D 84
2011
Later among the works it cites.
P. Jaranowski and A. Królak, “Gravitational-wave data analysis. Formalism and sample applications: The Gaussian case,” Living Rev. Relativity 15
2012
Later among the works it cites.
E. Barausse, A. Buonanno, and A. Le Tiec, “The complete non-spinning effective-one-body metric at linear order in the mass ratio,” Phys. Rev. D 85
2012
Later among the works it cites.
P. Jaranowski and G. Schäfer, “Towards the fourth post-Newtonian Hamiltonian for two-point-mass systems,” Phys. Rev. D 86
2012
Later among the works it cites.
2013
Later among the works it cites.
P. Jaranowski and G. Schäfer, “Dimensional regularization of local singularities in the fourth post-Newtonian two-point-mass Hamiltonian,” Phys. Rev. D 87
2013
Later among the works it cites.
S. Foffa and R. Sturani, “The dynamics of the gravitational two-body problem at fourth post-Newtonian order and at quadratic order in the Newton constant,” Phys. Rev. D 87
2013
Later among the works it cites.
S. Foffa and R. Sturani, “Tail terms in gravitational radiation reaction via effective field theory,” Phys. Rev. D 87
2013
Later among the works it cites.
C. M. Will, “The confrontation between general relativity and experiment,” Living Rev. Relativity 17
2014
Later among the works it cites.
N. Wex, “Testing relativistic gravity with radio pulsars,” in Brumberg Festschrift
2014
Later among the works it cites.
T. Damour, “The general relativistic two body problem and the effective one body formalism,” in General Relativity, Cosmology and Astrophysics. Perspectives 100 Years after Einstein’s Stay in Prague
2014
Later among the works it cites.
L. Blanchet, “Gravitational radiation from post-Newtonian sources and inspiralling compact binaries,” Living Rev. Relativity 17
2014
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T. Damour, P. Jaranowski, and G. Schäfer, “Nonlocal-in-time action for the fourth post-Newtonian conservative dynamics of two-body systems,” Phys. Rev. D 89
2014
Later among the works it cites.
W. D. Goldberger, A. Ross, and I. Z. Rothstein, “Black hole mass dynamics and renormalization group evolution,” Phys. Rev. D 89
2014
Later among the works it cites.
J. Aasi et al
2015
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F. Acernese et al
2015
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T. Akutsu (for the KAGRA collaboration), “Large-scale cryogenic gravitational-wave telescope in Japan: KAGRA,” J. Phys. Conf. Ser. 610
2015
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A. Buonanno and B. S. Sathyaprakash, “Sources of gravitational waves. Theory and observations”, in General Relativity and Gravitation: A Centennial Perspective
2015
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M. Levi and J. Steinhoff, “Leading order finite size effects with spins for inspiralling compact binaries,” J. High Energy Phys. 06
2015
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T. Damour, P. Jaranowski, and G. Schäfer, “Fourth post-Newtonian effective one-body dynamics,” Phys. Rev. D 91
2015
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I. Georg and G. Schäfer, “Canonical center and relative coordinates for compact binary systems through second post-Newtonian order,” Classical Quantum Gravity 32
2015
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