Abstract
Exact solutions of the Einstein-Maxwell equations are found for the stationary configuration of a rotating electrically charged ideal fluid. In this system stationary longitudinal magnetic and stationary radial electric fields can be induced. It is shown that in the case of cylindrical symmetry, the electric field disappears and the only longitudinal magnetic field is still present. This magnetic field also disappears at the limit equation of state of an ideal fluid ( p = ε, i.e. when w = 1 equation of state p = w ε). For w >0, we found solutions with the "wormhole" geometry. It was found that the wormhole is traversable and free particle accelerates to infinite velocity. However, total time of motion has small but finite value.
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