Einstein-Maxwell theory and the Weyl double copy

Easson, Damien A.; Manton, Tucker; Svesko, Andrew

doi:10.1103/physrevd.107.044063

Cited by 16 publications

(17 citation statements)

References 69 publications

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“…[90] may be due to its focus on tensorial formulae for the position-space double copy, given that the translation from spinors to tensors can obscure simple properties in the former language. Furthermore, the twistor methods considered here proved crucial in deriving the presence of the additional prefactor, which we note is also absent in recent conjectures for how to double-copy spinors for non-vacuum gravity solutions [28,74].…”

Section: Discussionmentioning

confidence: 84%

“…We also compare our results with the proposed non-vacuum Weyl double copy formulae of ref. [28,74]. For the cases we look at, we do not arrive at the same results.…”

Section: Introductionmentioning

confidence: 77%

“…It would be interesting to investigate whether similar methods could shed light on the generalised (non-vacuum) double copies explored in refs. [28,74], or indeed to other theories and / or types of solution.…”

Section: Discussionmentioning

confidence: 99%

“…We will address this point more fully in the following section, but first note that it is interesting to compare our results with the recent refs. [28,74], which looked at generalising the Weyl double copy in pure gravity to non-vacuum solutions. Various formulae were proposed for the Riemann spinor, for different types of solution.…”

Section: A Double Copy Formula For the Jnw Solutionmentioning

confidence: 99%

“…Another source of inspiration is the recent work of refs. [28,74], which has sought to extend the Weyl double copy in pure gravity to encompass non-vacuum solutions. The authors looked at solutions whose source currents / energy-momentum tensors can be written as a sum of terms which can each be meaningfully identified across different theories.…”

Section: Introductionmentioning

confidence: 99%

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A spinorial double copy for ${\cal N}=0$ supergravity

Armstrong-Williams¹,

White²

2023

Preprint

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The Weyl double copy is a formula relating solutions of scalar, gauge and gravity theories, and is related to the BCJ double copy for scattering amplitudes. The latter relates Yang-Mills theory to N = 0 supergravity, where an axion and dilaton are present in addition to the graviton. However, the traditional Weyl double copy applies only to pure gravity solutions, such that it remains to be seen whether or not it can be extended to the full spectrum of N = 0 supergravity. We examine this question using recently developed twistor methods, showing that some sort of double copy formula for N = 0 supergravity is indeed possible for certain solutions. However, it differs both from the traditional Weyl double copy form, and recent conjectures aimed at generalising the Weyl double copy to non-vacuum solutions.

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Section: Discussionmentioning

confidence: 84%

“…We also compare our results with the proposed non-vacuum Weyl double copy formulae of ref. [28,74]. For the cases we look at, we do not arrive at the same results.…”

Section: Introductionmentioning

confidence: 77%

Section: Discussionmentioning

confidence: 99%

Section: A Double Copy Formula For the Jnw Solutionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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A spinorial double copy for ${\cal N}=0$ supergravity

Armstrong-Williams¹,

White²

2023

Preprint

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Asymptotic Weyl double copy in Newman-Penrose formalism

Mao,

Zhao

2024

J. High Energ. Phys.

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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.

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Mini-twistors and the Cotton double copy

González

Emond

Moynihan

et al. 2023

J. High Energ. Phys.

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The double copy relates quantities in gauge, gravity and related theories. A well-known procedure for relating exact classical solutions is the Weyl double copy in four spacetime dimensions, and a three-dimensional analogue of this — the Cotton double copy — has recently been found for topologically massive gauge theory and gravity. In this paper, we use twistor methods to provide a derivation of the position-space Cotton double copy, where this is seen to arise from combining appropriate data in so-called minitwistor space. Our methods rely on a massive generalisation of the Penrose transform linking spacetime fields with cohomology classes in minitwistor space. We identify the relevant transform from the twistor literature, but also show that it naturally arises from considering scattering amplitudes in momentum space. We show that the Cotton double copy in position space is only valid for type N solutions, but that a simple twistor space double copy is possible for non-type N solutions, where we use anyons to illustrate our arguments.

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Einstein-Maxwell theory and the Weyl double copy

Cited by 16 publications

References 69 publications

A spinorial double copy for ${\cal N}=0$ supergravity

A spinorial double copy for ${\cal N}=0$ supergravity

Asymptotic Weyl double copy in Newman-Penrose formalism

Mini-twistors and the Cotton double copy

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