Isothermal Plasma Waves in Gravitomagnetic Planar Analogue

TL;DR

This paper studies wave behavior in isothermal plasma around a Kerr black hole using GRMHD equations, revealing conditions for negative phase velocity propagation related to black hole rotation.

Contribution

It provides a detailed analysis of plasma wave dispersion relations near Kerr black holes using 3+1 ADM formalism, highlighting the role of black hole rotation in wave propagation.

Findings

Real wave vector components obtained from dispersion relations.

Graphical analysis of phase and group velocities near pair production region.

Verification that black hole rotation is necessary for negative phase velocity propagation.

Abstract

We investigate the wave properties of the Kerr black hole with isothermal plasma using 3+1 ADM formalism. The corresponding Fourier analyzed perturbed GRMHD equations are used to obtain the dispersion relations. These relations lead to the real values of the components of wave vector $\textbf{k}$ which are used to evaluate the quantities like phase and group velocities etc. These have been discussed graphically in the neighborhood of the pair production region. The results obtained verify the conclusion of Mackay et al. according to which rotation of a black hole is required for negative phase velocity propagation.