Static two-body potential at fifth post-Newtonian order
General Relativity and Quantum Cosmology
2019-07-04 v2 High Energy Physics - Phenomenology
High Energy Physics - Theory
Abstract
We determine the gravitational interaction between two compact bodies up to the sixth power in Newton's constant GN, in the static limit. This result is achieved within the effective field theory approach to General Relativity, and exploits a manifest factorization property of static diagrams which allows to derive static post Newtonian (PN) contributions of (2n+1)-order in terms of lower order ones. We recompute in this fashion the 1PN and 3PN static potential, and present the novel 5PN contribution.
Cite
@article{arxiv.1902.10571,
title = {Static two-body potential at fifth post-Newtonian order},
author = {Stefano Foffa and Pierpaolo Mastrolia and Riccardo Sturani and Christian Sturm and William J. Torres Bobadilla},
journal= {arXiv preprint arXiv:1902.10571},
year = {2019}
}
Comments
7 pages, 3 figures. In v2: references added, published on PRL