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Related papers: Einstein-Maxwell theory and the Weyl double copy

200 papers

We give a novel formulation of classical double copy in the mini-superspace of static, spherically symmetric black holes where the map between the solutions of general relativity and Maxwell's theory can be realized in Boyer-Lindsquit…

General Relativity and Quantum Cosmology · Physics 2025-07-10 Gokhan Alkac , Mehmet Kemal Gumus , Mehmet Ali Olpak

The double copy is a much-studied relationship between scattering amplitudes in gauge and gravity theories, that has subsequently been extended to classical field solutions. In nearly all previous examples, the graviton field is defined…

High Energy Physics - Theory · Physics 2018-01-17 Nadia Bahjat-Abbas , Andrés Luna , Chris D. White

We discuss Petrov type D Einstein-Maxwell fields in which both double null eigenvectors of the Weyl tensor are non-aligned with the eigenvectors of a non-null electromagnetic field and are assumed to be geodesic, shear-free, diverging and…

General Relativity and Quantum Cosmology · Physics 2020-10-28 Norbert Van den Bergh , John Carminati

In this paper we revisit the motivation and construction of a unified theory of gravity and electromagnetism, following Weyl's insights regarding the appealing potential connection between the gauge invariance of electromagnetism and the…

General Relativity and Quantum Cosmology · Physics 2018-02-13 Carlos Barceló , Raúl Carballo-Rubio , Luis J. Garay

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

We use the classical double copy to identify a necessary condition for Maxwell theory sources to constitute single copies of Kerr-Schild solutions to Einstein's equations. In the case of four-dimensional Kerr-Schild spacetimes on Minkowski…

High Energy Physics - Theory · Physics 2020-03-10 Ibrahima Bah , Ross Dempsey , Peter Weck

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

Two modern programs involving analogies between general relativity and electromagnetism, gravito-electromagnetism (GEM) and the classical double copy (CDC), induce electromagnetic potentials from specific classes of spacetime metrics. We…

High Energy Physics - Theory · Physics 2025-05-07 Elena Cáceres , Brian Kent , Harita Palani Balaji

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

The double copy is a much-studied relationship between gauge theory and gravity amplitudes. Recently, this was generalised to an infinite family of classical solutions to Einstein's equations, namely stationary Kerr-Schild geometries. In…

High Energy Physics - Theory · Physics 2015-12-09 A. Luna , R. Monteiro , D. O'Connell , C. D. White

We construct a double copy relation between the Cotton spinor and the dual field strength spinor of topologically massive theories, as the three-dimensional analogue of the Weyl double copy. The relationship holds in curved backgrounds for…

High Energy Physics - Theory · Physics 2022-07-27 Mariana Carrillo González , Arshia Momeni , Justinas Rumbutis

In this work, we investigate the assumptions regarding spacetime backgrounds underlying the classical double copy. We argue (contrary to the norm) that single-copy fields naturally constructed on the original curved background metric are…

High Energy Physics - Theory · Physics 2025-03-18 Brian Kent , Tucker Manton , Sanjit Shashi

A class of solutions in $d$-dimensional Einstein gravity minimally coupled to a massless scalar field is studied, where the spacetime metric is of a generalized Weyl form with $d-2$ commuting Killing vectors. In addition to the procedure to…

General Relativity and Quantum Cosmology · Physics 2026-04-13 Yen-Kheng Lim

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

We consider $d$-dimensional solutions to the electrovacuum Einstein-Maxwell equations with the Weyl tensor of type N and a null Maxwell $(p+1)$-form field. We prove that such spacetimes are necessarily aligned, i.e. the Weyl tensor of the…

General Relativity and Quantum Cosmology · Physics 2017-05-03 Martin Kuchynka , Alena Pravdova

The double copy of the Coulomb solution in three dimensions is a non-vacuum solution that can be obtained through different matter couplings. It is the static black hole solution of Einstein-Maxwell theory or general relativity minimally…

High Energy Physics - Theory · Physics 2022-08-17 Gokhan Alkac , Mehmet Kemal Gumus , Mehmet Ali Olpak

A generalized Kerr-Schild ansatz for bigravity, already considered in the literature, which leads to linear interactions between the metrics is used to study the bigravity equations in the context of the double copy. By contracting the…

General Relativity and Quantum Cosmology · Physics 2024-06-25 H. García-Compeán , C. Ramos

Weyl's conformal theory of gravity is an extension of Einstein's theory of general relativity which associates metrics with 1-forms . In the case of locally integrable (closed non-exact) 1-forms the spacetime manifolds are no more simply…

General Relativity and Quantum Cosmology · Physics 2022-06-09 Michel Duneau

The double copy relates scattering amplitudes and classical solutions in non-abelian gauge theories and gravity. As such, it is usually expressed in the conventional second-order formalisms in both theories corresponding to standard…

High Energy Physics - Theory · Physics 2025-09-29 Nathan Moynihan , Michael L. Reichenberg Ashby , Chris D. White

In this paper, we study 2+2 direct product spacetimes sourced by separated electromagnetic and Yang--Mills fields within Weyl conformal gravity. We prove that all such configurations admit at least 2 independent, commuting non-null Killing…

General Relativity and Quantum Cosmology · Physics 2026-01-30 Petr Jizba , Tereza Lehečková