Sources in the Weyl Double Copy

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

doi:10.1103/physrevlett.127.271101

Cited by 40 publications

(51 citation statements)

References 31 publications

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“…Recently, in ref. [206], an extension of the vacuum Weyl double copy was proposed such that the gravity, gauge and scalar fields satisfy equations of motion with sources. It would be interesting to check whether this idea can provide examples with a complete double copy description, which should now include the Ricci part of the curvature as well as the sources.…”

Section: Beyond Vacuum Gravitymentioning

confidence: 99%

The SAGEX Review on Scattering Amplitudes, Chapter 14: Classical Gravity from Scattering Amplitudes

Kosower¹,

Monteiro²,

O’Connell³

2022

Preprint

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Scattering amplitudes have their origin in quantum field theory, but have wide-ranging applications extending to classical physics. We review a formalism to connect certain classical observables to scattering amplitudes. An advantage of this formalism is that it enables us to study implications of the double copy in classical gravity. We discuss examples of observables including the total change of a particle's momentum, and the gravitational waveform, during a scattering encounter. The double copy also allows direct access to classical solutions in gravity. We review this classical double copy starting from its linearised level, where it originates in the double copy of three-point amplitudes. The classical double copy extends elegantly to exact solutions, making a connection between scattering amplitudes and the geometric formulation of General Relativity.

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Section: Beyond Vacuum Gravitymentioning

confidence: 99%

The SAGEX Review on Scattering Amplitudes, Chapter 14: Classical Gravity from Scattering Amplitudes

Kosower¹,

Monteiro²,

O’Connell³

2022

Preprint

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“…In fact, since our model includes the Fab Four as a subclass, we expect a local Minkowski vacuum for any value of the net bulk cosmological constant. A preliminary investigation of such solutions is currently underway [72].…”

Section: Cosmology Black Holes and Beyondmentioning

confidence: 99%

The Stringy Origins of Galileons and their Novel Limit

Easson,

Manton,

Parikh

et al. 2020

Preprint

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We show covariantized Galileons arise from a consistent Kaluza-Klein reduction of the low-energy effective action of heterotic string theory to first order in α . This suggests Horndeski theories of gravity have a string-theoretic origin. The form of the Galileonic terms is precisely fixed by parameters of the embedding spacetime, so that only a specific subset of Galileon theories is permitted by string theory. A novel limit of the model is considered by performing a dimensionful rescaling of α .

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“…It starts from the analysis of perturbative scattering amplitudes [3][4][5][6], while now the study of the double copy has been extented into exact classical gravity solutions [7]. There are two classes of double copy, Kerr-Schild double copy [7][8][9][10][11][12][13][14][15][16][17][18][19] and Weyl double copy [20][21][22][23][24][25][26][27]. Relatively speaking, the latter one covers a wider range of spacetimes, so we will focus on the Weyl double copy in this paper.…”

Section: Introductionmentioning

confidence: 99%

“…More recently, the work Ref. [27] studied the Weyl double copy for general type D spacetimes with external sources but without cosmological constant and introduced an extended Weyl double copy. However Weyl double copy for a general spacetime, even for vacuum spacetime with cosmological constant, is still unknown.…”

Section: Introductionmentioning

confidence: 99%

Weyl double copy and massless free fields in curved spacetimes

Han

2022

Preprint

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Based on the fact that any massless free-field with spin higher than 1 2 can be constructed from scalar fields (spin-0) and Dirac-Weyl fields (spin-12 ), we introduce a map between spin-2 massless free-fields (gravity fields) and spin-1 2 massless free-fields (Dirac-Weyl fields) in spinor formalism. The associated Dirac-Weyl spinors can live in certain spacetime are identified. Regarding them as basic units, other higher spin massless free-fields are then constructed. In this way, some hidden fundamental features related to massless-free fields are revealed. In particular, for type N vacuum spacetimes, we show that all higher spin massless free-fields can be constructed by the same type of Dirac-Weyl spinors and an auxiliary scalar field, which satisfies the wave equation not only on curved spacetime but also on Minkowski spacetime. For type D vacuum spacetimes, we show that there exist similar relationships among different spin massless free-fields. Furthermore, we systematically rebuild the Weyl double copy for non-twisting type N vacuum spacetimes and type D vacuum spacetimes. We show that the zeroth copy not only connects the gravity fields with a single copy but also connects those degenerate electromagnetic fields with the Dirac-Weyl fields living in the curved spacetime, both for type N and type D cases. Afterward, we extend the study to type III non-twisting vacuum solutions. Independent of the proposed map, we find that there is a special Dirac-Weyl scalar whose square is just proportional to the Weyl scalar. A degenerate Maxwell field and an auxiliary scalar field are then solved. Both of them play the similar roles as the double copy. The result further confirms that there must exist a deep connection between gravity theory and gauge theory.

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Sources in the Weyl Double Copy

Cited by 40 publications

References 31 publications

The SAGEX Review on Scattering Amplitudes, Chapter 14: Classical Gravity from Scattering Amplitudes

The SAGEX Review on Scattering Amplitudes, Chapter 14: Classical Gravity from Scattering Amplitudes

The Stringy Origins of Galileons and their Novel Limit

Weyl double copy and massless free fields in curved spacetimes

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