Einstein-Maxwell theory and the Weyl double copy

Abstract

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 sources consistent with the classical Kerr-Schild double copy. Using this generalization, here we provide a complete double copy analysis of electrovacuum Petrov type D spacetimes. This includes the first analysis of the charged C-metric, whose single copy interpretation invokes the two-potential formalism of electrodynamics. We also present the first double copy prescription for the Ricci spinor, which for non-accelerating spacetimes, takes a form similar to the original double copy relation for the Weyl spinor.

25 pages + an appendix

References in corpus (28)

• New Relations for Gauge-Theory Amplitudes
• Scattering Amplitudes and the Conservative Hamiltonian for Binary Systems at Third Post-Minkowskian Order
• Black holes and the double copy
• Interpreting the C-metric
• The Kerr-Schild double copy in curved spacetime
• The Complete Four-Loop Four-Point Amplitude in N=4 Super-Yang-Mills Theory
• A Twistorial Foundation for the Classical Double Copy
• Quantum BTZ black hole
• The Weyl Double Copy for Gravitational Waves
• The classical double copy of non-singular black holes
• The Classical Double Copy of a Point Charge
• The convolutional double copy: a case study with a point
• Accelerating Kerr-Newman black holes in (anti-)de Sitter space-time
• A double copy for asymptotic symmetries in the self-dual sector
• Regular black holes in three dimensions
• The Newman-Penrose Map and the Classical Double Copy
• Sources in the Weyl double copy
• Black holes in dS${}_3$
• Classical double copy at null infinity
• Heterotic Kerr-Schild Double Field Theory and Classical Double Copy
• Alternative formulations of the twistor double copy
• Twistor Space Origins of the Newman-Penrose Map
• The double copy of the multipole expansion
• Why is the Weyl double copy local in position space?
• The Weyl double copy in vacuum spacetimes with a cosmological constant
• Weyl double copy and massless free fields in curved spacetimes
• Generalized Black Holes in 3D Kerr-Schild Double Copy
• Heterotic Kerr-Schild Double Field Theory and its double Yang-Mills formulation

Cited by in corpus (16)

• Isometries and the double copy
• Black Hole Horizons from the Double Copy
• Regularized Weyl double copy
• A spinorial double copy for $\mathcal{N}=0$ supergravity
• Electromagnetic Generalized Quasi-topological gravities in $(2+1)$ dimensions
• Asymptotic Weyl double copy in Newman-Penrose formalism
• Compactifying the Kerr-Schild Double Copy
• Gravito-electromagnetism, Kerr-Schild and Weyl double copies; a unified perspective
• Weyl double copy in type D spacetime in four and five dimensions
• Background ambiguity and the Gödel double copy
• Five dimensional Weyl double copy
• New framework for classical double copies
• Classical double copy in the black hole mini-superspace
• Slowly rotating charges from Weyl double copy for Kerr black hole with Chern-Simons correction
• Untwisting the double copy: the zeroth copy as an optical seed
• Weyl double copy in Lifshitz spacetimes