Classical gravitational self-energy from double copy

• DOI: 10.1007/jhep11(2020)165
• Publication Date: 2020-12-10T04:39:48Z
• Authors: Gabriel Luz Almeida; Stefano Foffa; Riccardo Sturani
• Keywords: High Energy Physics - Theory; Black Holes; Binary: coalescence; FOS: Physical sciences; QC770-798; General Relativity and Quantum Cosmology (gr-qc); Classical general relativity; Conservation law; 01 natural sciences; info:eu-repo/classification/ddc/500.2; Coalescing binaries; General Relativity and Quantum Cosmology; Nuclear and particle physics. Atomic energy. Radioactivity; 0103 physical sciences; Gravitation: coupling; Minkowski; Nonrelativistic; Post-Newtonian expansion; Gravitation: weak field; Curvature; Effective Field Theories; Propagator; Radiation reaction; General relativity; High Energy Physics - Theory (hep-th); Higher-order: 1; Classical Theories of Gravity

We apply the classical double copy to calculation of self-energy composite systems with multipolar coupling gravitational field, obtaining next-to-leading order results in $G_N$ by generalizing color kinematics replacement rules known literature. When applied description two-body system, diagrams studied this work correspond tail processes, whose physical interpretation is radiation being emitted non-relativistic source, scattered curvature generated binary system and then re-absorbed same source. These processes contribute conservative dynamics present represents a decisive step towards systematic use within post-Minkowskian expansion.