English

Multiparticle solutions to Einstein's equations

High Energy Physics - Theory 2021-11-01 v2 General Relativity and Quantum Cosmology

Abstract

In this letter we present the first multiparticle solutions to Einstein's field equations in the presence of matter. These solutions are iteratively obtained via the perturbiner method, which can circumvent gravity's infinite number of vertices with the definition of a multiparticle expansion for the inverse spacetime metric as well. Our construction provides a simple layout for the computation of tree level field theory amplitudes in DD spacetime dimensions involving any number of gravitons and matter fields, with or without supersymmetry.

Keywords

Cite

@article{arxiv.2106.12584,
  title  = {Multiparticle solutions to Einstein's equations},
  author = {Humberto Gomez and Renann Lipinski Jusinskas},
  journal= {arXiv preprint arXiv:2106.12584},
  year   = {2021}
}

Comments

7 pages. v2: minor corrections, references added, matches version accepted for publication in PRL

R2 v1 2026-06-24T03:31:37.621Z