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Einstein-Maxwell theory and the Weyl double copy

Damien A. Easson, Tucker Manton, Andrew Svesko

2023Physical review. D/Physical review. D.37 citationsDOIOpen Access PDF

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 nonaccelerating spacetimes, takes a form similar to the original double-copy relation for the Weyl spinor.

Topics & Concepts

PhysicsMinkowski spaceMathematical physicsSpinorSpacetimeGeneral relativityFormalism (music)Abelian groupGravitationEinsteinTheoretical physicsQuantum mechanicsPure mathematicsMathematicsMusicalArtVisual artsBlack Holes and Theoretical PhysicsCosmology and Gravitation TheoriesNoncommutative and Quantum Gravity Theories
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