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In this short review we present a self-contained exposition of the effective field theory method approach to model the dynamics of gravitationally bound compact binary systems within the post-Newtonian approximation to General Relativity.
Theory of gravitational perturbations in the fast motion approximation
Bruno Bertotti and Jerzy Plebanski · 1960
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Brownian motion of a quantum oscillator
J. S. Schwinger · 1961
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Gravitational radiation from point masses in a Keplerian orbit
P.C. Peters and J. Mathews · 1963
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Diagram technique for nonequilibrium processes
L. V. Keldysh · 1964
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Gravitational radiation damping
W. L. Burke and K. S. Thorne · 1970
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Discovery of a pulsar in a binary system
R A Hulse and J H Taylor · 1975
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Infrared singularities and massive fields
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N.D. Hari Dass and V. Soni · 1982
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Gravitational radiation and the motion of compact bodies
T. Damour · 1983
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Gravitational radiation and the motion of compact bodies
T. Damour · 1983
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Observations of post-newtonian timing effects in the binary pulsar psr 1913+16
J. M. Weisberg and J. H. Taylor · 1984
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Effectice action for expectation values
B. DeWitt · 1986
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Tail transposrted temporal correlations in the dynamics of a gravitating system
Luc Blanchet and Thibault Damour · 1988
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POSTNEWTONIAN GENERATION OF GRAVITATIONAL WAVES
L. Blanchet and T. Damour · 1989
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An effective field theory for heavy quarks at low-energies
H. Georgi · 1990
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A nearby 37.9-ms radio pulsar in a relativistic binary system
A. Wolszczan · 1991
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Spectroscopy with heavy quark symmetry
N. Isgur and M. B. Wise · 1991
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Nonlinear nature of gravitation and gravitational wave experiments
D. Christodoulou · 1991
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Hereditary effects in gravitational radiation
Luc Blanchet and Thibault Damour · 1992
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Time asymmetric structure of gravitational radiation
L. Blanchet · 1993
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Gravitational wave tails and binary star systems
L. Blanchet and Gerhard Schaefer · 1993
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Postnewtonian gravitational radiation reaction for two-body systems
B. R. Iyer and C. M. Will · 1993
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General relativity as an effective field theory: The leading quantum corrections
J. F. Donoghue · 1994
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Testing gravity to second postNewtonian order: A Field theory approach
Thibault Damour and Gilles Esposito-Farese · 1996
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Gravitational wave tails of tails
Luc Blanchet · 1998
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Equations of motion of point particle binaries at the third postNewtonian order
Luc Blanchet and Guillaume Faye · 2000
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Dimensional regularization of the gravitational interaction of point masses
Thibault Damour, Piotr Jaranowski, and Gerhard Schaefer · 2001
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General relativistic dynamics of compact binaries at the third postNewtonian order
Luc Blanchet and Guillaume Faye · 2001
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Third postNewtonian dynamics of compact binaries: Noetherian conserved quantities and equivalence between the harmonic coordinate and ADM Hamiltonian formalisms
Vanessa C. de Andrade, Luc Blanchet, and Guillaume Faye · 2001
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Studies of the relativistic binary pulsar psr b1534+12: I. timing analysis
I. H. Stairs, S. E. Thorsett, J. H. Taylor, and A. Wolszczan · 2002
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An increased estimate of the merger rate of double neutron stars from observations of a highly relativistic system
M. Burgay, N. D’Amico, A. Possenti, R. N. Manchester, A. G. Lyne, B. C. Joshi, M. A. McLaughlin, and M. Kramer et al · 2003
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Equation of motion for relativistic compact binaries with the strong field point particle limit: Third postNewtonian order
Yousuke Itoh · 2004
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Gravitational radiation from post-newtonian sources and inspiralling compact binaries
Luc Blanchet · 2006
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Reliability of complete gravitational waveform models for compact binary coalescences
M. Hannam F. Ohme and S. Husa · 2011
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Effective field theory calculation of conservative binary dynamics at third post-Newtonian order
Stefano Foffa and Riccardo Sturani · 2011
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Next-to-next-to-leading order post-Newtonian spin(1)-spin(2) Hamiltonian for self-gravitating binaries
Johannes Hartung and Jan Steinhoff · 2011
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Spin induced multipole moments for the gravitational wave flux from binary inspirals to third post-newtonian order
A. Ross R. A. Porto and I. Z. Rothstein · 2011
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LIGO/Virgo/GEO/KAGRA Science
2012
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Black hole stereotyping: Induced gravito-static polarization
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An Effective field theory of gravity for extended objects
Walter D. Goldberger and Ira Z. Rothstein · 2006
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Dissipative effects in the worldline approach to black hole dynamics
Walter D. Goldberger and Ira Z. Rothstein · 2006
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The Hyperfine Einstein-Infeld-Hoffmann potential
Rafael A. Porto and Ira Z. Rothstein · 2006
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Post-Newtonian corrections to the motion of spinning bodies in NRGR
Rafael A. Porto · 2006
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Les houches lectures on effective field theories and gravitational radiation
W. D. Goldberger · 2007
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New results at 3PN via an effective field theory of gravity
Rafael A. Porto · 2007
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Gravitational Waves
M. Maggiore · 2008
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Barak Kol and Michael Smolkin · 2012
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Einstein’s action and the harmonic gauge in terms of Newtonian fields
Barak Kol and Michael Smolkin · 2012
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Towards the 4th post-Newtonian Hamiltonian for two-point-mass systems
Piotr Jaranowski and Gerhard Schafer · 2012
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Reduze 2 - Distributed Feynman Integral Reduction
A. von Manteuffel and C. Studerus · 2012
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The First Law of Binary Black Hole Mechanics in General Relativity and Post-Newtonian Theory
Alexandre Le Tiec, Luc Blanchet, and Bernard F. Whiting · 2012
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Binary dynamics from spin1-spin2 coupling at fourth post-Newtonian order
Michele Levi · 2012
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On the comparison of results regarding the post-newtonian approximate treatment of the dynamics of extended spinning compact binaries
Steven Hergt, Jan Steinhoff, and Gerhard Schaefer · 2012
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Multipole expansion at the level of the action
Andreas Ross · 2012
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Radiation reaction at 3.5 post-newtonian order in effective field theory
C. R. Galley and A. K. Leibovich · 2012
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Spin induced multipole moments for the gravitational wave amplitude from binary inspirals to 2.5 post-newtonian order
A. Ross R. A. Porto and I. Z. Rothstein · 2012
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Search for Gravitational Waves from Binary Black Hole Inspiral, Merger and Ringdown in LIGO-Virgo Data from 2009-2010
J. Aasi et al · 2013
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Interferometer design of the KAGRA gravitational wave detector
Yoichi Aso, Yuta Michimura, Kentaro Somiya, Masaki Ando, Osamu Miyakawa, et al · 2013
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The dynamics of the gravitational two-body problem in the post-Newtonian approximation at quadratic order in the Newton’s constant
Stefano Foffa and Riccardo Sturani · 2013
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Dimensional regularization of local singularities in the 4th post-Newtonian two-point-mass Hamiltonian
Piotr Jaranowski and Gerhard Schfer · 2013
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Classical 3-loop 2-body diagrams
Barak Kol and Ruth Shir · 2013
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Classical Space-Times from the S Matrix
Duff Neill and Ira Z. Rothstein · 2013
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Analytical determination of the two-body gravitational interaction potential at the 4th post-Newtonian approximation
Donato Bini and Thibault Damour · 2013
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Next-to-next-to-leading order spin-orbit effects in the equations of motion of compact binary systems
Sylvain Marsat, Alejandro Bohé, Guillaume Faye, and Luc Blanchet · 2013
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Next-to-next-to-leading order spin-orbit effects in the near-zone metric and precession equations of compact binaries
Alejandro Bohé, Sylvain Marsat, Guillaume Faye, and Luc Blanchet · 2013
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Next-to-next-to-leading order spin-orbit effects in the gravitational wave flux and orbital phasing of compact binaries
Alejandro Bohé, Sylvain Marsat, and Luc Blanchet · 2013
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The classical mechanics of non-conservative systems
C. R. Galley · 2013
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Tail terms in gravitational radiation reaction via effective field theory
S. Foffa and R. Sturani · 2013
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