  It has recently been pointed out that one can construct invertible conformal
transformations with a parity-violating conformal factor, which can be employed
to generate a novel class of parity-violating ghost-free metric theories from
general relativity. We obtain exact solutions for rotating black holes in such
theories by performing the conformal transformation on the Kerr solution in
general relativity, which we dub conformal Kerr solutions. We explore the
geodesic motion of a test particle in the conformal Kerr spacetime. While null
geodesics remain the same as those in the Kerr spacetime, timelike geodesics
exhibit interesting differences due to an effective external force caused by
the parity-violating conformal factor.
