Abstract
The relativistic theory of axially symmetric, rotating charged dust is compared with the classical theory. The equations of motion are obtained from the field equations as compatibility conditions. It is proved that, if comoving coordinates are used for a rigid rotation in which the Lorentz force does not vanish, sigma / rho and g44 are functions of the electric potential. Two new classes of exact solutions are obtained, one being the general solution for the case of rigid rotation with vanishing Lorentz force.
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