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

TL;DR

This paper derives exact solutions for anisotropic magnetized plasma in a relativistic setting influenced by gravitational waves, revealing that only transverse polarization interacts with the plasma in the linear approximation.

Contribution

It generalizes previous solutions to include arbitrary polarization of gravitational waves and provides a reformulated energobalance equation for plasma-wave interactions.

Findings

Only transverse polarization interacts with plasma in linear approximation.

Exact solutions are obtained for arbitrary polarization of gravitational waves.

The results extend previous models to more general gravitational wave polarizations.

Abstract

Exact solutions of the self-consistent relativistic magnetohydrodynamics equations for an anisotropic magnetized plasma on the background of Bondi-Pirani-Robinson's vacuum plane gravitational wave (PGW) metric with an arbitrary polarization are obtained, which generalize the results obtained earlier by one of the authors for the transverse polarization of a gravitational wave. Based on the reformulated energobalance equation it is shown that in the linear approximation by gravitational wave amplitude only the transverse polarization of PGW interacts with magnetized plasma.