Effective field theory calculation of second post-Newtonian binary dynamics

Abstract

We use the effective field theory for gravitational bound states, proposed by Goldberger and Rothstein, to compute the interaction Lagrangian of a binary system at the second Post-Newtonian order. Throughout the calculation, we use a metric parametrization based on a temporal Kaluza-Klein decomposition and test the claim by Kol and Smolkin that this parametrization provides important calculational advantages. We demonstrate how to use the effective field theory method efficiently in precision calculations, and we reproduce known results for the second Post-Newtonian order equations of motion in harmonic gauge in a straightforward manner.

Replaced with published version

References in corpus (10)

• Binary black hole merger dynamics and waveforms
• The Hyperfine Einstein-Infeld-Hoffmann Potential
• The last orbit of binary black holes
• Non-Relativistic Gravitation: From Newton to Einstein and Back
• Classical Effective Field Theory and Caged Black Holes
• Towers of Gravitational Theories
• Asymptotics of d-dimensional Kaluza-Klein black holes: beyond the Newtonian approximation
• Post-Newtonian gravitational radiation and equations of motion via direct integration of the relaxed Einstein equations. V. Evidence for the strong equivalence principle to second post-Newtonian order
• Gravitational radiation in d>4 from effective field theory
• Results of the search for inspiraling compact star binaries from TAMA300's observation in 2000-2004

Cited by in corpus (11)

• Next-to-leading order gravitational spin-orbit coupling in an effective field theory approach
• The dynamics of the gravitational two-body problem at fourth post-Newtonian order and at quadratic order in the Newton constant
• Spin induced multipole moments for the gravitational wave flux from binary inspirals to third Post-Newtonian order
• Equivalence of ADM Hamiltonian and Effective Field Theory approaches at next-to-next-to-leading order spin1-spin2 coupling of binary inspirals
• Canonical Formulation of Spin in General Relativity
• The n-body problem in General Relativity up to the second post-Newtonian order from perturbative field theory
• Quantifying the Influence of Jupiter on the Earth's Orbital Cycles
• Symmetries of Feynman integrals and the Integration By Parts method
• Fourth-post-Newtonian-exact approximation to General Relativity
• Classical Effective Field Theory for Weak Ultra Relativistic Scattering
• The influence of Jupiter, Mars and Venus on Earth's orbital evolution