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Recent numerical and analytic computations based on the self-force (SF) formalism in general relativity showed that half-integral post-Newtonian (PN) terms, i.e.
Regularization and renormalization of gauge fields
G. ’t Hooft and M. Veltman · 1972
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Lowest order divergent graphs in v v -dimensional space
C. G. Bollini and J. J. Giambiagi · 1972
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Time asymmetric structure of gravitational radiation
L. Blanchet · 1993
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Analytic solutions of the Teukolsky equation and their low frequency expansions
S. Mano, H. Susuki, and E. Takasugi · 1996
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Analytic solutions of the Regge-Wheeler equation and the post-Minkowskian expansion
S. Mano, H. Susuki, and E. Takasugi · 1996
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Gravitational radiation reaction to a particle motion
Y. Mino, M. Sasaki, and T. Tanaka · 1997
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Axiomatic approach to electromagnetic and gravitational radiation reaction of particles in curved spacetime
T. C. Quinn and R. M. Wald · 1997
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Self-force via a Green’s function decomposition
S. Detweiler and B. F. Whiting · 2003
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A consequence of the gravitational self-force for circular orbits of the Schwarzschild geometry
S. Detweiler · 2008
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Post-Newtonian and numerical calculations of the gravitational self-force for circular orbits in the Schwarzschild geometry
L. Blanchet, S. Detweiler, A. Le Tiec, and B. F. Whiting · 2010
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Higher-order Post-Newtonian fit of the gravitational self-force for circular orbits in the Schwarzschild geometry
L. Blanchet, S. Detweiler, A. Le Tiec, and B. F. Whiting · 2010
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The motion of point particles in curved spacetime
E. Poisson, A. Pound, and I. Vega · 2011
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The Gravitational Universe
eLISA Consortium · 2013
Finding high-order analytic post-Newtonian parameters from a high-precision numerical self-force calculation
A. G. Shah, J. L. Friedmann, and B. F. Whiting · 2014
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Half-integral conservative post-Newtonian approximations in the redshift factor of black hole binaries
L. Blanchet, G. Faye, and B. F. Whiting · 2014
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High-order half-integral conservative post-Newtonian coefficients in the redshift factor of black hole binaries
L. Blanchet, G. Faye, and B. F. Whiting · 2014
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Analytic determination of the eight-and-a-half post-Newtonian self-force contributions to the two-body gravitational interaction potential
D. Bini and T. Damour · 2014
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Analytical high-order post-Newtonian expansions for extreme mass ratio binaries
C. Kavanagh, A. C. Ottewill, and B. Wardell · 2015
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Gravitational radiation from post-newtonian sources and inspiralling compact binaries
L. Blanchet · 2014
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Experimental mathematics meets gravitational self-force
Nathan K. Johnson-McDaniel, Abhay G. Shah, and Bernard F. Whiting · 2015
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