Perturbative spacetimes from Yang-Mills theory

TL;DR

This paper extends the double copy framework to construct spacetime metrics perturbatively from Yang-Mills theory, enabling new approaches to problems like black-hole scattering.

Contribution

It introduces a systematic perturbative method to derive spacetime metrics from gauge theory calculations using the double copy.

Findings

Constructed spherically symmetric spacetimes via perturbative double copy.

Identified a class of naked singularities within the Janis-Newman-Winicour family.

Paves the way for applying double copy to black-hole scattering problems.

Abstract

The double copy relates scattering amplitudes in gauge and gravity theories. In this paper, we expand the scope of the double copy to construct spacetime metrics through a systematic perturbative expansion. The perturbative procedure is based on direct calculation in Yang-Mills theory, followed by squaring the numerator of certain perturbative diagrams as specified by the double-copy algorithm. The simplest spherically symmetric, stationary spacetime from the point of view of this procedure is a particular member of the Janis-Newman-Winicour family of naked singularities. Our work paves the way for applications of the double copy to physically interesting problems such as perturbative black-hole scattering.