Asymptotic Weyl double copy in Newman-Penrose formalism

Abstract

In this paper, we provide a self-contained investigation of the Weyl double copy in the Newman-Penrose formalism. We examine the Weyl double copy constraints for the general asymptotically flat solution in the Newman-Unti gauge. We find that two transparent solutions of the asymptotic Weyl double copy constraints lead to truncated solutions for both linearized and Einstein gravity theory where the solutions are in the manifest form of Petrov type N or type D in the Newman-Unti gauge.

arXiv comment12 pages. typos fixed, published version

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Cited by in corpus (6)

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• Weyl double copy in type D spacetime in four and five dimensions
• Five dimensional Weyl double copy
• Slowly rotating charges from Weyl double copy for Kerr black hole with Chern-Simons correction
• Gravitational vacua in the Newman-Penrose formalism
• Weyl double copy in Lifshitz spacetimes