Exact solutions of the Einstein–Maxwell equations are found for the stationary configuration of a rotating electrically charged ideal fluid. It is shown that stationary longitudinal magnetic and stationary radial electric fields can be induced in this system. It is also shown that in the case of cylindrical symmetry, the electric field disappears and the longitudinal magnetic field alone is present. This magnetic field also disappears from the limiting equation of state for the ideal fluid (p = ε, that is, when w = 1, the equation of state is p = wε). For w > 0, we have found solutions with wormhole geometry. Moreover, it has been found that the wormhole is traversable and that the free particle accelerates to infinite velocity. However, the total time of motion has small, but finite value.
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 3, pp. 17–27, March, 2022.
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Krechet, V.G., Oshurko, V.B. & Baidin, A.E. Gravitational and Electromagnetic Effects in the Configuration of a Rotating Electrically Charged Ideal Liquid. Russ Phys J 65, 410–422 (2022). https://doi.org/10.1007/s11182-022-02649-7
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DOI: https://doi.org/10.1007/s11182-022-02649-7