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The classical double copy relates exact solutions of gauge, gravity and other theories. Although widely studied, its origins and domain of applicability have remained mysterious. In this letter, we show that a particular incarnation - the…

High Energy Physics - Theory · Physics 2021-02-17 Chris D. White

The Weyl double copy relates exact solutions in general relativity to exact solutions in gauge theory, formulated in the spinorial language. To date, the Weyl double copy is understood and employed only for vacuum spacetimes, and hence only…

General Relativity and Quantum Cosmology · Physics 2022-01-05 Damien A. Easson , Tucker Manton , Andrew Svesko

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…

High Energy Physics - Theory · Physics 2024-07-26 Kymani Armstrong-Williams , Nathan Moynihan , Chris D. White

The double copy relates momentum-space scattering amplitudes in gauge and gravity theories. It has also been extended to classical solutions, where in some cases an exact double copy can be formulated directly in terms of products of fields…

High Energy Physics - Theory · Physics 2022-12-28 Andres Luna , Nathan Moynihan , Chris D. White

The Weyl double copy relates vacuum solutions in general relativity to Abelian gauge fields in Minkowski spacetime. In a previous work, we showed how the Weyl double copy can be extended to provide a treatment of external gravitational…

General Relativity and Quantum Cosmology · Physics 2023-03-08 Damien A. Easson , Tucker Manton , Andrew Svesko

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 ${\cal N}=0$ supergravity, where an axion…

High Energy Physics - Theory · Physics 2023-05-24 Kymani Armstrong-Williams , Chris D. White

The classical double copy relating exact solutions of biadjoint scalar, gauge and gravity theories continues to receive widespread attention. Recently, a derivation of the exact classical double copy was presented, using ideas from twistor…

High Energy Physics - Theory · Physics 2022-04-13 Erick Chacón , Silvia Nagy , Chris D. White

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…

High Energy Physics - Theory · Physics 2022-12-12 Mariana Carrillo González , William T. Emond , Nathan Moynihan , Justinas Rumbutis , Chris D. White

The Weyl double copy formalism, which relates the Weyl spinor with the square of the field strength, is studied in the context of Hassan-Rosen bigravity for stationary and time-dependent solutions. We consider the dyonic Kerr-Newman-(A)dS…

General Relativity and Quantum Cosmology · Physics 2025-10-03 Hugo García-Compeán , César I. Ramos

We consider the classical double copy, that relates solutions of biadjoint scalar, gauge and gravity theories. Using a recently developed twistor expression of this idea, we use well-established techniques to show that the multipole moments…

High Energy Physics - Theory · Physics 2022-11-09 Erick Chacón , Andres Luna , Chris D. White

We study the double-copy relation between classical solutions in gauge theory and gravity, focusing on four-dimensional vacuum metrics of algebraic type D, a class that includes several important solutions. We present a double copy of…

High Energy Physics - Theory · Physics 2019-04-03 Andres Luna , Ricardo Monteiro , Isobel Nicholson , Donal O'Connell

We establish the status of the Weyl double copy relation for radiative solutions of the vacuum Einstein equations. We show that all type N vacuum solutions, which describe the radiation region of isolated gravitational systems with…

High Energy Physics - Theory · Physics 2025-12-16 Hadi Godazgar , Mahdi Godazgar , Ricardo Monteiro , David Peinador Veiga , C. N. Pope

The Weyl double copy (WDC) relation connects the Weyl tensor of the gravity theory and the field strength tensor of the Maxwell theory, which provides a concrete realization of the classical double copy. Although intensively investigated,…

High Energy Physics - Theory · Physics 2025-04-29 Weicheng Zhao , Pu-Jian Mao , Jun-Bao Wu

In spinor formalism, since any massless free-field spinor with spin higher than $1/2$ can be constructed with spin-1/2 spinors (Dirac-Weyl spinors) and scalars, we introduce a map between Weyl fields and Dirac-Weyl fields. We determine the…

General Relativity and Quantum Cosmology · Physics 2022-12-07 Shanzhong Han

We study a host of spacetimes where the Weyl curvature may be expressed algebraically in terms of an Abelian field strength. These include Type D spacetimes in four and higher dimensions which obey a simple quadratic relation between the…

High Energy Physics - Theory · Physics 2020-10-28 Rashid Alawadhi , David S. Berman , Bill Spence

We examine the Weyl double copy relation for vacuum solutions of the Einstein equations with a cosmological constant using the approach we previously described, in which the spin-1/2 massless free-field spinors (Dirac-Weyl fields) are…

General Relativity and Quantum Cosmology · Physics 2022-10-19 Shanzhong Han

The Weyl double copy builds the relation between gauge theory and gravity theory, especially the correspondence between gauge solutions and gravity solutions. In this paper, we obtain the slowly rotating charge solutions from Weyl double…

General Relativity and Quantum Cosmology · Physics 2026-01-13 Yi-Ran Liu , Jing-Rui Zhang , Yun-Long Zhang

The self-dual double copy is further explored. In previous work, it has been shown that hyper-Hermitian manifolds also have associated the self-dual gauge theories via Kerr-Schild double copy. The self-dual double copy is generalized in the…

High Energy Physics - Theory · Physics 2024-11-22 E. Chacón , H. García-Compeán , G. Robles

A characteristic value formulation of the Weyl double copy leads to an asymptotic formulation. We find that the Weyl double copy holds asymptotically in cases where the full solution is algebraically general, using rotating STU supergravity…

High Energy Physics - Theory · Physics 2021-12-08 Hadi Godazgar , Mahdi Godazgar , Ricardo Monteiro , David Peinador Veiga , C. N. Pope

The double copy relates gauge and gravitational theories, with widespread application to quantum scattering amplitudes and classical perturbative results. It also connects exact classical solutions of Abelian gauge and gravitational…

High Energy Physics - Theory · Physics 2025-10-02 Brian Kent , Aaron Zimmerman
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