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arXiv · 2008.06195

Classical Gravitational Self-Energy from Double Copy

Gabriel Luz Almeida·Stefano Foffa·Riccardo Sturani
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Abstract

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

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Gabriel Luz Almeida, Stefano Foffa, Riccardo Sturani. 2020-08-14. Classical Gravitational Self-Energy from Double Copy. https://doi.org/10.1007/jhep11(2020)165

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