Sources in the Weyl double copy

Abstract

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 to vacuum gauge theories. In this letter, we propose an extension to the Weyl double copy that provides a systematic procedure for treating gravitational sources. We show this extended Weyl double copy gives a new perspective on the Kerr-Newman black hole and the general class of Petrov type D electro-vac spacetimes.

5 pages, to appear in PRL

References in corpus (10)

• 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
• Scattering Amplitudes and Conservative Binary Dynamics at $\mathcal{O}(G^4)$
• 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
• Classical Solutions and their Double Copy in Split Signature
• Asymptotic Weyl Double Copy
• Classical gravitational scattering from a gauge-invariant double copy

Cited by in corpus (10)

• Off-Shell Color-Kinematics Duality for Chern-Simons
• Einstein-Maxwell theory and the Weyl double copy
• Why is the Weyl double copy local in position space?
• The Weyl double copy in vacuum spacetimes with a cosmological constant
• Aligned Fields Double Copy to Kerr-NUT-(A)dS
• Weyl double copy and massless free fields in curved spacetimes
• Generalized Black Holes in 3D Kerr-Schild Double Copy
• Classical double copy and higher-spin fields
• Double copy of spontaneously broken Abelian gauge theory
• NS-NS Spacetimes from Amplitudes