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Multiparticle solutions to Einstein's equations

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arxiv 2106.12584 v2 pith:C6LEWQEN submitted 2021-06-23 hep-th gr-qc

Humberto Gomez , Renann Lipinski Jusinskas This is my paper · ORCID
classification hep-thgr-qc
keywords multiparticlesolutionseinsteinequationsfieldmatternumberspacetime
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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 $D$ spacetime dimensions involving any number of gravitons and matter fields, with or without supersymmetry.

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Cited by 1 Pith paper

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  1. Color-factor symmetry using perturbiner methods for tree-level amplitudes of Yang-Mills theory coupled to matter

    hep-th 2026-07 accept novelty 6.0 of 10

    Perturbiner recursion proves color-factor symmetry (hence BCJ relations) for all tree-level YM+matter amplitudes with at least one gluon.

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