Recursion Relations for Classical Gravity
arXiv:2607.12973
summary
The paper develops recursion formulas that enable perturbative calculations of two black holes scattering in Einstein gravity, and demonstrates the method by obtaining results up to third post‑Minkowskian order, including the back‑reaction from gravitational radiation.
Abstract
We derive a set of recursion relations for the perturbative evaluation of the scattering of two black holes in Einstein gravity. To illustrate, we solve the equations up to third post-Minkowskian order in the gravitational coupling constant G, recovering the correct result, including the back-reaction from gravitational radiation.
66 pages
Topics & keywords
#black-hole scattering#post-minkowskian expansion#recursion relations#gravitational radiation#perturbative gravityEinstein gravitypost-Minkowskian orderscattering amplitudegravitational coupling Gradiation back-reaction