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We embed the Penrose limit into the Weyl classical double copy. Thereby, we provide a lift of the double copy properties of plane wave spacetimes into black hole geometries and we open a novel avenue towards taking the classical double copy…

High Energy Physics - Theory · Physics 2024-07-12 Samarth Chawla , Kwinten Fransen , Cynthia Keeler

We propose a formulation of the Penrose plane wave limit in terms of null Fermi coordinates. This provides a physically intuitive (Fermi coordinates are direct measures of geodesic distance in space-time) and manifestly covariant…

High Energy Physics - Theory · Physics 2009-11-11 Matthias Blau , Denis Frank , Sebastian Weiss

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 set of simple rules for constructing the maximal (e.g. analytic) extensions for any metric with a Killing field in an (effectively) two-dimensional spacetime is formulated. The application of these rules is extremely straightforward, as…

General Relativity and Quantum Cosmology · Physics 2010-04-06 T. Kloesch , T. Strobl

We analyse the relation between two a priori quite different expansions of the string equations of motion and constraints in a general curved background, namely one based on the covariant Penrose-Fermi expansion of the metric G_{\mu\nu}…

High Energy Physics - Theory · Physics 2008-11-26 Matthias Blau , Sebastian Weiss

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 Newman-Penrose map, which is closely related to the classical double copy, associates certain exact solutions of Einstein's equations with self-dual solutions of the vacuum Maxwell equations. Here we initiate an extension of the…

High Energy Physics - Theory · Physics 2023-09-20 Kara Farnsworth , Michael Graesser , Gabriel Herczeg

The Penrose inequality in Minkowski is a geometric inequality relating the total outer null expansion and the area of closed, connected and spacelike codimension-two surfaces S in the Minkowski spacetime, subject to an additional convexity…

General Relativity and Quantum Cosmology · Physics 2015-06-16 Marc Mars , Alberto Soria

We show that the self-dual classical double copy can be straightforwardly extended to the higher-spin case when formulated in terms of light-cone gauge prepotentials. This allows us to construct a higher-spin extension for any self-dual…

High Energy Physics - Theory · Physics 2026-05-06 Nikita Misuna , Dmitry Ponomarev , Alexander Solomin

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

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

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

We show that vacuum type N Kundt spacetimes in an arbitrary dimension admit a Kerr-Schild (KS) double copy. This is mostly done in a coordinate-independent way using the higher-dimensional Newman-Penrose formalism. We also discuss two kinds…

General Relativity and Quantum Cosmology · Physics 2024-02-15 Marcello Ortaggio , Vojtech Pravda , Alena Pravdova

Vacuum spacetimes admitting a non-twisting geodetic multiple Weyl aligned null direction (WAND) are analyzed in arbitrary dimension using recently developed higher-dimensional Newman-Penrose (NP) formalism. We determine dependence of the…

General Relativity and Quantum Cosmology · Physics 2008-12-18 Alena Pravdova , Vojtech Pravda

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 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

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 review recent developments and applications of the classification of the Weyl tensor in higher dimensional Lorentzian geometries. First, we discuss the general setup, i.e. main definitions and methods for the classification, some…

General Relativity and Quantum Cosmology · Physics 2012-12-17 Marcello Ortaggio , Vojtech Pravda , Alena Pravdova

Gauge-gravity duality is arguably our best hope for understanding quantum gravity. Considerable progress has been made in relating scattering amplitudes in certain gravity theories to those in gauge theories---a correspondence dubbed the…

High Energy Physics - Theory · Physics 2021-02-03 Gilly Elor , Kara Farnsworth , Michael L. Graesser , Gabriel Herczeg

We study the class of generalized Kerr-Schild (GKS) spacetimes in dimensions $n\geq 3$ and analyze their geometric and algebraic properties in a completely theory-independent setting. First, considering the case of a general null vector…

General Relativity and Quantum Cosmology · Physics 2025-03-07 Aravindhan Srinivasan
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