Type D Spacetimes and the Weyl Double Copy

Andres Luna, Ricardo Monteiro, Isobel Nicholson, Donal O'Connell

Research output: Contribution to journalArticlepeer-review

Abstract / Description of output

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.
Original languageEnglish
Number of pages27
JournalClassical and quantum gravity
Publication statusPublished - 18 Feb 2019

Keywords / Materials (for Non-textual outputs)

  • hep-th


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