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arXiv · 2210.16339

Einstein-Maxwell theory and the Weyl double copy

Damien A. Easson·Tucker Manton·Andrew Svesko
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Abstract

The Weyl double copy relates vacuum solutions in general relativity to Abelian gauge fields in Minkowski spacetime. In a previous work, we showed how the Weyl double copy can be extended to provide a treatment of external gravitational sources consistent with the classical Kerr-Schild double copy. Using this generalization, here we provide a complete double copy analysis of electrovacuum Petrov type D spacetimes. This includes the first analysis of the charged C-metric, whose single copy interpretation invokes the two-potential formalism of electrodynamics. We also present the first double copy prescription for the Ricci spinor, which for non-accelerating spacetimes, takes a form similar to the original double copy relation for the Weyl spinor.

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Damien A. Easson, Tucker Manton, Andrew Svesko. 2022-10-28. Einstein-Maxwell theory and the Weyl double copy. https://doi.org/10.1103/physrevd.107.044063

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