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.
Misuna et al. (Fri,) studied this question.
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