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.

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

References in corpus (6)

• New Relations for Gauge-Theory Amplitudes
• Taming Tree Amplitudes In General Relativity
• Non-abelian $Z$-theory: Berends-Giele recursion for the ${\alpha }^{\prime }$-expansion of disk integrals
• Expansion of All Multitrace Tree Level EYM Amplitudes
• Subleading Soft Theorem for Multiple Soft Gravitons
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• New recursions for tree-level correlators in (Anti) de Sitter space
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• 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