Recursion Relations for Classical Gravity

Poul H. Damgaard; Kwangeon Kim; Kanghoon Lee

Recursion Relations for Classical Gravity

High Energy Physics - Theory 2026-07-14 v1 General Relativity and Quantum Cosmology

Authors: Poul H. Damgaard , Kwangeon Kim , Kanghoon Lee

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.

Cite

@article{arxiv.2607.12973,
  title  = {Recursion Relations for Classical Gravity},
  author = {Poul H. Damgaard and Kwangeon Kim and Kanghoon Lee},
  journal= {arXiv preprint arXiv:2607.12973},
  year   = {2026}
}

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66 pages