  The Weyl double copy builds the relation between gauge theory and gravity
theory, especially the correspondence between gauge solutions and gravity
solutions. In this paper, we obtain the slowly rotating charge solutions from
Weyl double copy for the Kerr black hole with small Chern-Simons correction.
Based on the Weyl double copy relation, for the Petrov type D solution, we find
the additional correction to the electromagnetic field strength tensor of
rotating charge. For the Petrov type I solution, we find that the additional
electromagnetic field strength tensors have the exogenous properties, while the
total sources vanish at the leading order.
