Exact solution of the relativistic magnetohydrodynamic equations in the background of a plane gravitational wave with combined polarization

TL;DR

This paper derives an exact solution for relativistic magnetohydrodynamics in an anisotropic plasma influenced by a plane gravitational wave, revealing that only the '+' polarization interacts with the plasma in linear approximation.

Contribution

It provides the first exact solution of the coupled relativistic MHD and gravitational wave equations for arbitrary polarization.

Findings

Only the '+' polarization interacts with the plasma in linear approximation.

The solution describes the plasma's response to gravitational waves with arbitrary polarization.

The interaction depends on the polarization state of the gravitational wave.

Abstract

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 $\mathbf{e_+}$ polarization of the PGW interacts with a magnetoactive plasma.