Self-dual classical higher-spin multicopy

Abstract

We show that the self-dual classical double copy can be straightforwardly extended to the higher-spin case when formulated in terms of light-cone gauge prepotentials. This allows us to construct a higher-spin extension for any self-dual spacetime that admits a Kerr-Schild form. We also discuss the counterpart of this procedure at the level of Weyl tensors. We find that, depending on the class of the original gravitational background, higher-spin Weyl tensors may follow various multicopy patterns.