Cold Plasma Wave Analysis in Magneto-Rotational Fluids

TL;DR

This study analyzes cold plasma wave behavior near the pair production region of a Kerr magnetosphere using relativistic MHD equations, deriving dispersion relations and examining wave propagation characteristics.

Contribution

It provides a detailed relativistic analysis of plasma wave properties in Kerr magnetospheres, including numerical solutions for wave vectors and velocities, which advances understanding of wave dynamics in such environments.

Findings

Wave propagation direction and dispersion are characterized.

Complex wave vectors are numerically computed.

Phase and group velocities are analyzed and graphed.

Abstract

This paper is devoted to investigate the cold plasma wave properties. The analysis has been restricted to the neighborhood of the pair production region of the Kerr magnetosphere. The Fourier analyzed general relativistic magnetohydrodynamical equations are dealt under special circumstances and dispersion relations are obtained. We find the $x$-component of the complex wave vector numerically. The corresponding components of the propagation vector, attenuation vector, phase and group velocities are shown in graphs. The direction and dispersion of waves are investigated.