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Weyl double copy in type D spacetime in four and five dimensions

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arxiv 2411.04774 v2 pith:NZY543CK submitted 2024-11-07 hep-th gr-qc

Weyl double copy in type D spacetime in four and five dimensions

Weicheng Zhao , Pu-Jian Mao , Jun-Bao Wu This is my paper
classification hep-th gr-qc
keywords scalartypeweylbackgroundcopycurveddimensionsdouble
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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In this paper, we present a second realization of the Weyl double copy (WDC) in four-dimensional algebraic type D spacetime. We show that any type D vacuum solution admits an algebraically general Maxwell scalar on the curved background that squares to give the Weyl scalar. The WDC relation defines a scalar field that satisfies the Klein-Gordon equation sourced by the Weyl scalar on the curved background. We then extend the type D WDC to five dimensions.

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Cited by 4 Pith papers

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  1. Mass/electric versus NUT/magnetic charges: duality from scattering amplitudes in $D\geq4$ and for all bosonic spins

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  2. Untwisting the double copy: the zeroth copy as an optical seed

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    A single complex optical seed built from expansion and twist organizes stationary Kerr-Schild geometries, reconstructs the congruence, and encodes the zeroth-copy data that generates both the gravitational profile and...

  3. The Penrose Transform and the Kerr-Schild double copy

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  4. Weyl double copy in Lifshitz spacetimes

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