Year: 2026
Type: article
Abstract: A bstract We present a historical optical foundation for stationary vacuum Kerr-Schild spacetimes on a flat background and interpret it in modern double-copy language. In this setting, a complex optical seed ρ = − θ − iω , built from the expansion and signed twist of the Kerr-Schild congruence, is harmonic, while its inverse obeys an eikonal equation and reconstructs the congruence algebraically. Thus the local stationary geometry is organized by a single complex seed. In the overlap of the stationary Kerr-Schild and Petrov type-D Weyl double-copy framework, this seed furnishes a normalized representative of the zeroth-copy data, while its real part yields the Kerr-Schild profile and its gradient generates the single-copy gauge-field strength. The construction provides, without recourse to twistor methods, a spacetime realization of how a single complex seed builds the congruence, organizes the associated spacetime and gauge fields, and encodes the geometric content of the zeroth copy.
Source: Journal of High Energy Physics
Authors: Damien A. Easson, Michael J. Falato
Institution: Arizona State University
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W7161966772