Multiparticle Solutions to Einstein’s Equations

Gomez, Humberto; Lipinski Jusinskas, Renann

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.

Citation

Gomez, H., & Lipinski Jusinskas, R. (2021). Multiparticle Solutions to Einstein’s Equations. Physical Review Letters, 127(18), Article 181603. https://doi.org/10.1103/physrevlett.127.181603

• Journal Article Type: Article
• Acceptance Date: Oct 6, 2021
• Online Publication Date: Oct 29, 2021
• Publication Date: Oct 29, 2021
• Deposit Date: Jan 19, 2022
• Publicly Available Date: Jan 20, 2022
• Journal: Physical Review Letters
• Print ISSN: 0031-9007
• Electronic ISSN: 1079-7114
• Publisher: American Physical Society
• Peer Reviewed: Peer Reviewed
• Volume: 127
• Issue: 18
• Article Number: 181603
• DOI: https://doi.org/10.1103/physrevlett.127.181603
• Public URL: https://durham-repository.worktribe.com/output/1216825