The Hyperfine Einstein-Infeld-Hoffmann Potential

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.

Figures (2)

• Figure 1: Diagrams contributing to 3PN order which do not involve non-linear interactions. The blow represents a spin insertion and the cross corresponds to a propagator correction.
• Figure 2: Non-linear contributions to the 3PN spin-spin potential.