Subleading Spin-Orbit Correction to the Newtonian Potential in Effective Field Theory Formalism

TL;DR

This paper uses an effective field theory approach to compute the spin-orbit correction to the Newtonian potential at 2.5 post-Newtonian order in the context of binary inspirals, aiding gravitational wave modeling.

Contribution

It introduces a systematic calculation of spin-orbit effects within the NRGR framework at 2.5 PN order, advancing the theoretical understanding of binary dynamics.

Findings

Calculated the spin-orbit correction at 2.5 PN order

Provided a systematic EFT approach to binary dynamics

Enhanced modeling accuracy for gravitational wave signals

Abstract

We study the gravitational dynamics in the early inspiral phase of coalescing compact binaries using Non-Relativistic General Relativity (NRGR) - an effective field theory formalism based on the post-newtonian expansion, but which provides a consistent lagrangian framework and a systematic way in which to study binary dynamics and gravitational wave emission. We calculate in this framework the spin-orbit correction to the newtonian potential at 2.5 PN.