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.

12 pages. typos fixed, published version

References in corpus (11)

• New Relations for Gauge-Theory Amplitudes
• Black holes and the double copy
• A Twistorial Foundation for the Classical Double Copy
• Classical double copy at null infinity
• Coadjoint representation of the BMS group on celestial Riemann surfaces
• Einstein-Maxwell theory and the Weyl double copy
• Alternative formulations of the twistor double copy
• Why is the Weyl double copy local in position space?
• Isometries and the double copy
• The Weyl double copy in vacuum spacetimes with a cosmological constant
• Weyl double copy and massless free fields in curved spacetimes

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• Gravitational vacua in the Newman-Penrose formalism
• Weyl double copy in Lifshitz spacetimes