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 $D$ spacetime dimensions involving any number of gravitons and matter fields, with or without supersymmetry.

• Received 28 June 2021
• Revised 1 September 2021
• Accepted 6 October 2021

DOI:https://doi.org/10.1103/PhysRevLett.127.181603

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Published by the American Physical Society