Exact Solution of the Relativistic Magnetohydrodynamic Equations in the Background of a Plane Gravitational Wave with Combined Polarization

摘要

We obtain an exact solution of the self-consistent relativistic magnetohydrodynamic equations for an anisotropic magnetoactive plasma in the background of a plane gravitational wave metric (PGW) with an arbitrary polarization. It is shown that, in the linear approximation in the gravitational wave amplitude, only the e_+ polarization of the PGWinteracts with a magnetoactive plasma.