I attended a lecture on non-inertial frames of reference and fictitous forces in translating and rotating frames (in the case of rotating frames the relevant forces are Coriolis and centrifugal forces), and when the lecturer gave the relation between the rate of change of a vector $\vec{A}$ and it's rate of change in a rotating frame (with the same origin) -
$$\frac{d\vec{A}}{dt} = \frac{d\vec{A'}}{dt}+\vec{\omega}\times\vec{A}$$
he commented that $\vec{A}$ might represent any physical vector- including force fields like electric fields - and not just distance and velocity. After that he remarked the theory of Maxwell's equations in rotating frames is important in astrophysics; specifically in modeling electromagnetic fields of pulsars.
I understand that the concept of rotation is universal to all vectors, so that (obviously) an electric field can be measured in different directions relative to different frames of references (different coordinate systems). In addition, by the classical theory of electroagnetic fields, the first time derivative of electric field represents magnetic field (by Maxwell's "displacement current" correction to Ampere's law). But i had hard time trying to think if there is any meaningful analogy to the coriolis and centrifugal acceleration terms (of classical mechanics) in electromagnetic theory?
