Confirming and improving post-Newtonian and effective-one-body results from self-force computations along eccentric orbits around a Schwarzschild black hole

T. Damour and N. Deruelle, “General relativistic celestial mechanics of binary systems I. The post-Newtonian motion. ” Ann. Inst. Henri Poincaré 43

1985

Earlier work this paper cites.

T. Damour and N. Deruelle, “General relativistic celestial mechanics of binary systems II. The post-Newtonian timing formula.” Ann. Inst. Henri Poincaré, 44

1986

Earlier work this paper cites.

T. Damour and G. Schaefer, “Higher Order Relativistic Periastron Advances and Binary Pulsars,” Nuovo Cim. B 101

1988

Earlier work this paper cites.

S. Mano, H. Suzuki and E. Takasugi, “Analytic solutions of the Regge-Wheeler equation and the postMinkowskian expansion,” Prog. Theor. Phys. 96

1996

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.

A. Buonanno and T. Damour, “Effective one-body approach to general relativistic two-body dynamics,” Phys. Rev. D 59

1999

Earlier work this paper cites.

A. Buonanno and T. Damour, “Transition from inspiral to plunge in binary black hole coalescences,” Phys. Rev. D 62

2000

Earlier work this paper cites.

T. Damour, P. Jaranowski and G. Schaefer, “On the determination of the last stable orbit for circular general relativistic binaries at the third postNewtonian approximation,” Phys. Rev. D 62

2000

Earlier work this paper cites.

T. Damour, “Coalescence of two spinning black holes: an effective one-body approach,” Phys. Rev. D 64

2001

Earlier work this paper cites.

M. Kontsevich and D. Zagier, “Periods,” in B. Engquist, W. Schmid, Mathematics unlimited—2001 and beyond, Berlin, New York: Springer-Verlag, pp. 771–808 (2001)

2001

Earlier work this paper cites.

S. L. Detweiler, “A Consequence of the gravitational self-force for circular orbits of the Schwarzschild geometry,” Phys. Rev. D 77

Original

2008

Earlier work this paper cites.

L. Barack, “Gravitational self force in extreme mass-ratio inspirals,” Class. Quant. Grav. 26

Original

2009

Cited alongside, same era.

L. Barack, T. Damour and N. Sago, “Precession effect of the gravitational self-force in a Schwarzschild spacetime and the effective one-body formalism,” Phys. Rev. D 82

Original

2010

Cited alongside, same era.

T. Damour, “Gravitational Self Force in a Schwarzschild Background and the Effective One Body Formalism,” Phys. Rev. D 81

Original

2010

Cited alongside, same era.

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

Original

2010

Cited alongside, same era.

G. Schaefer, “Post-Newtonian methods: Analytic results on the binary problem,” Fundam. Theor. Phys. 162

D. Bini and T. Damour, “Analytical determination of the two-body gravitational interaction potential at the fourth post-Newtonian approximation,” Phys. Rev. D 87

Original

2013

Later among the works it cites.

L. Blanchet, “Gravitational Radiation from Post-Newtonian Sources and Inspiralling Compact Binaries,” Living Rev. Rel. 17

Original

2014

Later among the works it cites.

T. Damour, P. Jaranowski and G. Schaefer, “Nonlocal-in-time action for the fourth post-Newtonian conservative dynamics of two-body systems,” Phys. Rev. D 89

Original

2014

Later among the works it cites.

D. Bini and T. Damour, “High-order post-Newtonian contributions to the two-body gravitational interaction potential from analytical gravitational self-force calculations,” Phys. Rev. D 89

Original

2014

Later among the works it cites.