Hot Plasma Waves in Schwarzschild Magnetosphere
M. Sharif, Asma Rafique

TL;DR
This paper investigates the wave behavior of hot plasma in Schwarzschild magnetosphere using GRMHD equations, analyzing dispersion relations and refractive indices to understand dispersive properties near the event horizon.
Contribution
It formulates and solves Fourier-analyzed 3+1 GRMHD perturbation equations for various plasma conditions in Schwarzschild spacetime, providing new insights into wave properties near black holes.
Findings
Dispersion relations for different plasma states are obtained.
Refractive index behavior near the event horizon is characterized.
Dispersive properties vary with plasma rotation and magnetization.
Abstract
In this paper we examine the wave properties of hot plasma living in Schwarzschild magnetosphere. The 3+1 GRMHD perturbation equations are formulated for this scenario. These equations are Fourier analyzed and then solved numerically to obtain the dispersion relations for non-rotating, rotating non-magnetized and rotating magnetized plasma. The wave vector is evaluated which is used to calculate refractive index. These quantities are shown in graphs which are helpful to discuss the dispersive properties of the medium near the event horizon.
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