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We present a local seed-to--Kerr--Schild route to Birkhoff rigidity in four-dimensional spherical vacuum gravity. On the two-dimensional orbit space, the areal radius \(r\) determines a scalar \(F:=-(\nabla r)^2\), and the reduced vacuum…

General Relativity and Quantum Cosmology · Physics 2026-04-14 D. A. Easson

In the standard derivation of the Kerr-Schild double copy, the geodicity of the Kerr-Schild vector and the stationarity of the spacetime are presented as assumptions that are necessary for the single copy to satisfy Maxwell's equations.…

General Relativity and Quantum Cosmology · Physics 2024-05-29 Damien A. Easson , Gabriel Herczeg , Tucker Manton , Max Pezzelle

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

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 construct the Kerr-Schild classical double copy of the black string in the Randall-Sundrum II model, deriving the single and zeroth copies, and verifying the associated field equations. The single copy gauge field is independent of the…

High Energy Physics - Theory · Physics 2026-04-08 Jesús A. Rodríguez

Kerr-Schild double copy is shown to extend naturally to all free symmetric gauge fields propagating on $(A)dS$ in any dimension. Similarly to the standard lower-spin case, the higher-spin multicopy comes along with the zeroth, single, and…

High Energy Physics - Theory · Physics 2023-03-01 V. E. Didenko , N. K. Dosmanbetov

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

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

We show that the classical double copy relationship for Kerr-Schild spacetimes can be dimensionally reduced to give a natural notion of the double copy for Kaluza-Klein theory with gravity coupled to a gauge field and a dilaton. Under…

High Energy Physics - Theory · Physics 2023-06-14 Ross Dempsey , Peter Weck

We find Abelian gauge fields that double copy to a large class of black hole spacetimes with spherical horizon topology known as the Kerr-NUT-(A)dS family. Using a multi-Kerr-Schild prescription, we extend the previously-known double copy…

High Energy Physics - Theory · Physics 2023-04-13 Samarth Chawla , Cynthia Keeler

We study the classical double copy for static black string solutions in an Anti--de Sitter (AdS) background. By casting the black string metric into Kerr--Schild form over a cylindrical AdS geometry, we construct the corresponding single…

High Energy Physics - Theory · Physics 2026-02-02 G. Alencar , C. R. Muniz , M. S. Oliveira

Four-dimensional Kerr-Schild geometry contains two stringy structures. The first one is the closed string formed by the Kerr singular ring, and the second one is an open complex string with was obtained in the complex structure of the…

High Energy Physics - Theory · Physics 2015-06-16 Alexander Burinskii

The Kerr-Schild (KS) geometry is linked tightly with the auxiliary \emph{flat} Minkowski background. Nevertheless, it describes many curved space-times and the related physical models, starting from cosmology and black holes to the…

General Physics · Physics 2012-12-27 Alexander Burinskii

The classical double copy procedure relates classical asymptotically-flat gravitational field solutions to Yang-Mills and scalar field solutions living in Minkowski space. In this paper we extend this correspondence to maximally symmetric…

High Energy Physics - Theory · Physics 2018-04-17 Mariana Carrillo-Gonzalez , Riccardo Penco , Mark Trodden

The classical double copy provides a powerful bridge between gravity and gauge theory, but its most explicit realizations remain concentrated in stationary or highly symmetric settings. We show that trapped regions of black-hole geometries…

High Energy Physics - Theory · Physics 2026-04-23 Damien A. Easson , Tucker Manton

We study higher dimensional charged Kerr-Schild (KS) spacetimes that can be constructed by a KS transformation of a vacuum solution with an arbitrary cosmological constant, and for which the vector potential is aligned with the KS vector…

General Relativity and Quantum Cosmology · Physics 2024-09-10 Marcello Ortaggio , Aravindhan Srinivasan

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

There are a number of classical double copies, each providing a prescription for generating solutions to the Maxwell and scalar wave equations from exact solutions of Einstein's equations. Two such prescriptions are the Kerr-Schild and…

High Energy Physics - Theory · Physics 2026-05-06 Emma Albertini , Michael L. Graesser , Gabriel Herczeg

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

We discuss the generalisation of the Weyl double copy to higher spin "multi-copies", showing how the natural linearised higher spin field strengths can be related to sums of powers of the Maxwell tensor. The tracelessness of the field…

High Energy Physics - Theory · Physics 2025-09-16 Graham R. Brown , Bill Spence
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