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arXiv · 1810.08183

Type D Spacetimes and the Weyl Double Copy

Andres Luna·Ricardo Monteiro·Isobel Nicholson·Donal O'Connell
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Abstract

We study the double-copy relation between classical solutions in gauge theory and gravity, focusing on four-dimensional vacuum metrics of algebraic type D, a class that includes several important solutions. We present a double copy of curvatures that applies to all spacetimes of this type -- the Weyl double copy -- relating the curvature of the spacetime to an electromagnetic field strength. We show that the Weyl double copy is consistent with the previously known Kerr-Schild double copy, and in fact resolves certain ambiguities of the latter. The most interesting new example of the classical double copy presented here is that of the C-metric. This well-known solution, which represents a pair of uniformly accelerated black holes, is mapped to the Lienard-Wiechert potential for a pair of uniformly accelerated charges. We also present a new double-copy interpretation of the Eguchi-Hanson instanton.

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Andres Luna, Ricardo Monteiro, Isobel Nicholson, Donal O'Connell. 2026-06-01. Type D Spacetimes and the Weyl Double Copy. https://doi.org/10.1088/1361-6382%2Fab03e6

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