Multiparticle solutions to Einstein's equations

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.

arXiv comment7 pages. v2: minor corrections, references added, matches version accepted for publication in PRL

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Cited by in corpus (14)

• The Off-Shell Recursion for Gravity and the Classical Double Copy for currents
• Graviton particle statistics and coherent states from classical scattering amplitudes
• New recursions for tree-level correlators in (Anti) de Sitter space
• One-loop off-shell amplitudes from classical equations of motion
• Manifest colour-kinematics duality and double-copy in the string-based formalism
• Differential Operators and Unifying Relations for 1-loop Feynman Integrands from Berends-Giele Currents
• Perturbations of General Relativity to All Orders and the General $n^{\mathrm{th}}$ Order Terms
• Berends-Giele currents for extended gravity
• One-loop $N$-point correlators in pure gravity
• Massive strings from a haunted field theory
• Color-factor symmetry of the amplitudes of Yang-Mills and biadjoint scalar theory using perturbiner methods
• Systematic approach to $\ell$-loop planar integrands from the classical equation of motion
• The bi-adjoint scalar $\ell$-loop planar integrand recursion and graded inverse variables
• Quantum Off-Shell Recursion Relation