A single complex optical seed built from expansion and twist organizes stationary Kerr-Schild geometries, reconstructs the congruence, and encodes the zeroth-copy data that generates both the gravitational profile and the single-copy gauge field.
The Penrose Transform and the Kerr-Schild double copy
2 Pith papers cite this work. Polarity classification is still indexing.
2
Pith papers citing it
abstract
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 twistorial double copies. We argue that for a broad class of self-dual vacuum solutions of the Kerr-Schild form, which we refer to as twistorial Kerr-Schild spacetimes, these two prescriptions are in fact equivalent. The approach is elementary, utilizing null Lorentz transformations, with homogenous functions on twistor space playing a central role. The equivalence is illustrated explicitly for the example of the self-dual (Kerr)-Taub-NUT spacetime. A detailed proof and several more examples will be presented in a long-form companion to this letter.
citation-role summary
background 2
citation-polarity summary
fields
hep-th 2years
2026 2verdicts
UNVERDICTED 2roles
background 2polarities
background 2representative citing papers
Self-dual double copy extends to higher-spin fields via light-cone prepotentials, enabling higher-spin solutions and multicopy Weyl patterns for Kerr-Schild self-dual backgrounds.
citing papers explorer
-
Untwisting the double copy: the zeroth copy as an optical seed
A single complex optical seed built from expansion and twist organizes stationary Kerr-Schild geometries, reconstructs the congruence, and encodes the zeroth-copy data that generates both the gravitational profile and the single-copy gauge field.
-
Self-dual classical higher-spin multicopy
Self-dual double copy extends to higher-spin fields via light-cone prepotentials, enabling higher-spin solutions and multicopy Weyl patterns for Kerr-Schild self-dual backgrounds.