Gravity in binary systems at the fifth and sixth post-Newtonian order

TL;DR

This paper advances the theoretical understanding of binary gravitational systems by computing high-order post-Newtonian corrections, enhancing predictions for gravitational wave signals during inspiral and merger phases.

Contribution

It provides the first computation of conservative dynamics at the fifth and partial sixth post-Newtonian order using effective field theory methods, extending the modeling accuracy.

Findings

Derived coefficients for Effective One-Body Hamiltonian.

Extended the validity of post-Newtonian models to late inspiral.

Predicted key observables for gravitational wave detection.

Abstract

Binary sources of gravitational waves in the early inspiral phase are accurately described by a post-Newtonian expansion in small velocity and weak interaction. We compute the conservative dynamics to fifth and partial sixth order using a non-relativistic effective field theory. We give predictions for central observables and determine the required coefficients for the construction of an Effective One-Body Hamiltonian, extending the applicability of our results to the late inspiral and merger phases.