Multiparticle Solutions to Einstein’s Equations
Humberto Gomez, Renann Lipinski Jusinskas
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.
Topics & Concepts
SpacetimePhysicsGravitonMetric (unit)ComputationSimple (philosophy)Field theory (psychology)Field equationMathematical physicsField (mathematics)Space (punctuation)InverseMinkowski spaceTree (set theory)Theoretical physicsQuantum field theorySpace timeMetric tensorClassical mechanicsAmplitudeExact solutions in general relativityMaxwell's equations in curved spacetimeGeneral relativityEinstein field equationsInverse problemScattering amplitudeBlack Holes and Theoretical PhysicsCosmology and Gravitation TheoriesNoncommutative and Quantum Gravity Theories