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Exact solutions of the self-consistent relativistic magnetohydrodynamicsequations for an anisotropic magnetized plasma on the background ofBondi-Pirani-Robinson's vacuum plane gravitational wave (PGW) metric with anarbitrary polarization are obtained, which generalize the results obtainedearlier by one of the authors for the transverse polarization of agravitational wave. Based on the reformulated energobalance equation it isshown that in the linear approximation by gravitational wave amplitude only thetransverse polarization of PGW interacts with magnetized plasma.

Exact Solutions of the Self-consistent System of Relativistic  Magnetohydrodynamics Equations for an Anisotropic Plasma on the Background of  Bondi-Pirani-Robinson's Metric