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Deriving Weyl double copies with sources

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arxiv 2407.18107 v1 pith:3XIWXAIO submitted 2024-07-25 hep-th gr-qc

Deriving Weyl double copies with sources

classification hep-th gr-qc
keywords doublecopyweylextendformulaesolutionssourcesbeen
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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The Weyl double copy is a relationship between classical solutions in gauge and gravity theories, and has previously been applied to vacuum solutions in both General Relativity and its generalisations. There have also been suggestions that the Weyl double copy should extend to solutions with non-trivial sources. In this paper, we provide a systematic derivation of sourced Weyl double copy formulae, using spinorial methods previously established for ${\cal N}=0$ supergravity. As a cross-check, we rederive the same formulae using a tensorial approach, which then allows us to extend our arguments to sources containing arbitrary powers of the inverse radial coordinate. We also generalise our results to include the Kerr-Newman black hole, clarifying previous alternative double copy formulae presented in the literature. Our results extend the validity of the Weyl double copy, and may be useful for further astrophysical applications of this correspondence.

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Cited by 5 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

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

    hep-th 2026-04 unverdicted novelty 7.0

    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...

  2. Non-topological solitons in biadjoint scalar field theory

    hep-th 2026-06 unverdicted novelty 6.0

    Biadjoint scalar theory admits a family of non-topological solitons carrying U(1) charge, time-dependent like Q-balls, stable in truncation, with finite localized energy.

  3. Minisuperspace Double Copy in Lifshitz Spacetimes

    hep-th 2026-04 unverdicted novelty 6.0

    A radial operator extracted from the reduced gravitational dynamics in Lifshitz spacetimes directly reproduces the Maxwell operator for the temporal single-copy field without using equations of motion.

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

    hep-th 2025-11 unverdicted novelty 6.0

    The Kerr-Schild and twistorial double copies are equivalent for self-dual vacuum Kerr-Schild spacetimes.

  5. Hawking Radiation meets the Double Copy

    hep-th 2025-10 unverdicted novelty 6.0

    Bogoliubov coefficients from scattering a scalar in a collapsing EM background (single copy of Vaidya) match ray-tracing results and connect to Hawking radiation through the double copy.