Perfectly conducting rapidly rotating sphere and pulsar electrodynamics

We consider a perfectly conducting fluid with spherical boundary, rotating with constant angular velocity in an electromagnetic field. We then obtain, in the framework of special relativity, the exact forms of the equations of the interior and exterior electrodynamics for the case where the rotation axis is not aligned along the magnetic dipole field. Connections between this work and the electrodynamics of rotating magnetized neutron stars will be noted.