The Hyperfine Einstein-Infeld-Hoffmann Potential

TL;DR

This paper applies effective field theory methods to compute the third order post-Newtonian correction to the spin-spin potential in general relativity, crucial for accurate gravitational wave modeling.

Contribution

It introduces the first calculation of the non-linear third order correction to spin-spin interactions using effective field theory techniques.

Findings

Third order post-Newtonian correction to spin-spin potential calculated.

Highlights the importance of non-linear effects in gravitational wave physics.

Provides a foundation for improved gravitational wave templates.

Abstract

We use recently developed effective field theory techniques to calculate the third order post-Newtonian correction to the spin-spin potential between two spinning objects. This correction represents the first contribution to the spin-spin interaction due to the non-linear nature of general relativity and will play an important role in forthcoming gravity wave experiments.