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Peer-reviewedCC BY 4.0Journal of High Energy Physics

Recursion relations for classical gravity

  • Poul H. Damgaard1,2
  • Kwangeon Kim3
  • Kanghoon Lee4
4 affiliations
  1. 1University of Copenhagen
  2. 2CERN
  3. 3Yonsei University
  4. 4Korea Institute for Advanced Study
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Abstract

A bstract : 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.

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Cite

BibTeXRIS
BibTeX
@article{damgaard2026recursion,
  title = {{Recursion relations for classical gravity}},
  author = {Poul H. Damgaard and Kwangeon Kim and Kanghoon Lee},
  journal = {Journal of High Energy Physics},
  year = {2026},
  month = oct,
  doi = {10.1007/jhep10(2026)118},
  url = {https://link.springer.com/10.1007/JHEP10(2026)118},
  note = {CC BY 4.0},
}
RIS
TY  - JOUR
TI  - Recursion relations for classical gravity
AU  - Poul H. Damgaard
AU  - Kwangeon Kim
AU  - Kanghoon Lee
PY  - 2026
DA  - 2026/10/09
JO  - Journal of High Energy Physics
DO  - 10.1007/jhep10(2026)118
UR  - https://link.springer.com/10.1007/JHEP10(2026)118
AB  - A bstract : 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.
SN  - 1029-8479
ER  -