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.
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Luna, A., Monteiro, R., Nicholson, I. et al. Perturbative spacetimes from Yang-Mills theory. J. High Energ. Phys. 2017, 69 (2017). https://doi.org/10.1007/JHEP04(2017)069
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DOI: https://doi.org/10.1007/JHEP04(2017)069