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Multiparticle solutions to Einstein's equations
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Multiparticle solutions to Einstein's equations
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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.
Forward citations
Cited by 5 Pith papers
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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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Color-factor symmetry using perturbiner methods for tree-level amplitudes of Yang-Mills theory coupled to matter
A new perturbiner proof shows tree-level Yang-Mills amplitudes with any number of fundamental scalars or spinors and at least one gluon are invariant under color-factor shifts, yielding BCJ relations.
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Off-shell recursion for all-loop planar integrands in Yang-Mills theory
Yang-Mills planar loop integrands admit an off-shell recursion that organizes the pure-gluon sector into matrix form and incorporates ghost contributions, yielding a concrete two-loop strategy.
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