Gravitational Spin-Orbit Hamiltonian at NNNLO in the post-Newtonian framework

S. Foffa, P. Mastrolia, R. Sturani, C. Sturm, and W. J. Torres Bobadilla, Static two-body potential at fifth post-Newtonian order

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

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

Original

1903

Earlier work this paper cites.

A. Guevara, A. Ochirov, and J. Vines, Black-hole scattering with general spin directions from minimal-coupling amplitudes

Original

1906

Earlier work this paper cites.

N. Arkani-Hamed, Y.-t. Huang, and D. O’Connell, Kerr black holes as elementary particles

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

Original

1908

Earlier work this paper cites.

M.-Z. Chung, Y.-T. Huang, and J.-W. Kim, Classical potential for general spinning bodies

Original

1908

Earlier work this paper cites.

D. Bini, T. Damour, and A. Geralico, Novel approach to binary dynamics: application to the fifth post-Newtonian level

Original

1909

Earlier work this paper cites.

N. Siemonsen and J. Vines, Test black holes, scattering amplitudes and perturbations of Kerr spacetime

Original

1909

Earlier work this paper cites.

G. Kälin and R. A. Porto, From Boundary Data to Bound States

Original

1910

Earlier work this paper cites.

G. Kälin and R. A. Porto, From boundary data to bound states. Part II. Scattering angle to dynamical invariants (with twist)

Original

1911

Earlier work this paper cites.

S. Foffa, P. Mastrolia, R. Sturani, C. Sturm, and W. J. Torres Bobadilla, Calculating the static gravitational two-body potential to fifth post-Newtonian order with Feynman diagrams

Original

1912

Earlier work this paper cites.

M. Levi, S. Mougiakakos, and M. Vieira, Gravitational cubic-in-spin interaction at the next-to-leading post-Newtonian order

Original

1912

Earlier work this paper cites.

A. Einstein, L. Infeld, and B. Hoffmann, The Gravitational equations and the problem of motion

1938

Earlier work this paper cites.

A. Einstein and L. Infeld, The Gravitational equations and the problem of motion. 2

1940

Earlier work this paper cites.

B. Bertotti, On gravitational motion

1956

Earlier work this paper cites.

R. P. Kerr, The Lorentz-covariant approximation method in general relativity I

1959

Earlier work this paper cites.

W. Tulczyjew, Equations of motion of rotating bodies in general relativity theory

1959

Earlier work this paper cites.

B. Bertotti and J. Plebanski, Theory of gravitational perturbations in the fast motion approximation

1960

Earlier work this paper cites.

J. Steinhoff and G. Schaefer, Canonical formulation of self-gravitating spinning-object systems

Original

1967

Earlier work this paper cites.

T. Ohta, H. Okamura, T. Kimura, and K. Hiida, Physically acceptable solution of einstein’s equation for many-body system

1973

Earlier work this paper cites.

M. Portilla, MOMENTUM AND ANGULAR MOMENTUM OF TWO GRAVITATING PARTICLES

1979

Earlier work this paper cites.

K. Westpfahl and M. Goller, GRAVITATIONAL SCATTERING OF TWO RELATIVISTIC PARTICLES IN POSTLINEAR APPROXIMATION

1979

Earlier work this paper cites.

M. Portilla, SCATTERING OF TWO GRAVITATING PARTICLES: CLASSICAL APPROACH

1980

Earlier work this paper cites.

B. M. Barker and R. F. O’Connell, Acceleration-dependent lagrangians and equations of motion

1980

Earlier work this paper cites.

L. Bel, T. Damour, N. Deruelle, J. Ibanez, and J. Martin, Poincaré-invariant gravitational field and equations of motion of two pointlike objects: The postlinear approximation of general relativity

1981

Earlier work this paper cites.

K. G. Chetyrkin and F. V. Tkachov, Integration by Parts: The Algorithm to Calculate beta Functions in 4 Loops

1981

Earlier work this paper cites.

T. Damour, Probleme des deux corps et freinage de rayonnement en relativite generale

1982

Earlier work this paper cites.

G. Schafer, Acceleration-dependent lagrangians in general relativity

1984

Earlier work this paper cites.

K. Westpfahl, High-Speed Scattering of Charged and Uncharged Particles in General Relativity

1985

Earlier work this paper cites.

T. Damour and G. Schäfer, Lagrangians for n n point masses at the second post-Newtonian approximation of general relativity

1985

Earlier work this paper cites.

T. Damour and G. Schaefer, Redefinition of position variables and the reduction of higher order Lagrangians

1991

Earlier work this paper cites.

P. Nogueira, Automatic feynman graph generation

1993

Earlier work this paper cites.

J. F. Donoghue, General relativity as an effective field theory: The leading quantum corrections

1994

Earlier work this paper cites.

Y. Mino, M. Sasaki, and T. Tanaka, Gravitational radiation reaction to a particle motion

1997

Earlier work this paper cites.

T. C. Quinn and R. M. Wald, An Axiomatic approach to electromagnetic and gravitational radiation reaction of particles in curved space-time

1997

Earlier work this paper cites.

A. Buonanno and T. Damour, Effective one-body approach to general relativistic two-body dynamics

1999

Earlier work this paper cites.

T. Damour, P. Jaranowski, and G. Schaefer, Dynamical invariants for general relativistic two-body systems at the third postNewtonian approximation

2000

Earlier work this paper cites.

L. Blanchet and G. Faye, Equations of motion of point particle binaries at the third postNewtonian order

2000

Earlier work this paper cites.

A. Buonanno and T. Damour, Transition from inspiral to plunge in binary black hole coalescences

2000

Earlier work this paper cites.

S. Laporta, High precision calculation of multiloop Feynman integrals by difference equations

2000

Earlier work this paper cites.

P. Jaranowski and G. Schaefer, Third postNewtonian higher order ADM Hamilton dynamics for two-body point mass systems

2001

Cited alongside, same era.

T. Damour, P. Jaranowski, and G. Schaefer, Dimensional regularization of the gravitational interaction of point masses

2001

Cited alongside, same era.

H. Tagoshi, A. Ohashi, and B. J. Owen, Gravitational field and equations of motion of spinning compact binaries to 2.5 postNewtonian order

2001

Cited alongside, same era.

D. Bini, T. Damour, and A. Geralico, Binary dynamics at the fifth and fifth-and-a-half post-Newtonian orders

Original

2003

Cited alongside, same era.

J. Blümlein, A. Maier, P. Marquard, and G. Schäfer, Fourth post-Newtonian Hamiltonian dynamics of two-body systems from an effective field theory approach

Original

2003

A. Bohe, S. Marsat, G. Faye, and L. Blanchet, Next-to-next-to-leading order spin-orbit effects in the near-zone metric and precession equations of compact binaries

Original

2013

Later among the works it cites.

T. Damour, P. Jaranowski, and G. Schäfer, Nonlocal-in-time action for the fourth post-Newtonian conservative dynamics of two-body systems

Original

2014

Later among the works it cites.

M. Levi and J. Steinhoff, Equivalence of ADM Hamiltonian and Effective Field Theory approaches at next-to-next-to-leading order spin1-spin2 coupling of binary inspirals

Original

2014

Later among the works it cites.

L. Blanchet, Gravitational Radiation from Post-Newtonian Sources and Inspiralling Compact Binaries

Original

2014

Later among the works it cites.

R. N. Lee, LiteRed 1.4: a powerful tool for reduction of multiloop integrals