Does a rotating magnetic monopole have an electric dipole?

Does a rotating magnetic monopole have an electric dipole?

It is known that a rotating electrically charged sphere possesses a magnetic dipole, so for symmetry I guess that also a magnetic monopole has an electric dipole, but I cannot prove it.

According to Wikipedia, the electromagnetic field of a particle with both electric and magnetic charge is given by:

$$F_{munu}=partialnu A_mu-partial_mu A_nu + partial^alpha epsilon_{munualphabeta} P^beta$$

I think that the potential $P^beta$ should be given by a similar form to that of an electric charge:

$$P^0=dfrac{g}{r}quad P^i=0$$

where $g$ is the magnetic charge, however this form only gives the spatial components of the electromagnetic field tensor, so I guess this is wrong.

How do I prove that a rotating magnetic monopole has an electric dipole?