Rigidly rotating charged perfect fluids with constant density or polytropic equations of state can be immersed in the Wald magnetosphere while satisfying integrated conservation laws that reduce to modified Einstein-Euler equations.
Trova, Equilibrium of charged fluid around a Kerr black hole immersed in a magnetic field: Variation of angular momentum, Int
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Relativistic figures of equilibrium in the Wald magnetosphere
Rigidly rotating charged perfect fluids with constant density or polytropic equations of state can be immersed in the Wald magnetosphere while satisfying integrated conservation laws that reduce to modified Einstein-Euler equations.