Complex Wave Numbers in the Vicinity of the Schwarzschild Event Horizon

TL;DR

This study analyzes wave properties of cold plasma near the Schwarzschild event horizon by deriving dispersion relations that yield complex wave numbers, revealing wave behavior in various plasma conditions.

Contribution

It introduces a detailed analysis of complex wave numbers in plasma near the Schwarzschild horizon, considering both rotating and non-rotating, magnetized and non-magnetized cases.

Findings

Dispersion relations for plasma near the horizon are derived.

Wave behavior varies with plasma conditions and rotation.

Graphs illustrate the nature of waves in different scenarios.

Abstract

This paper is devoted to investigate the cold plasma wave properties outside the event horizon of the Schwarzschild planar analogue. The dispersion relations are obtained from the corresponding Fourier analyzed equations for non-rotating and rotating, non-magnetized and magnetized backgrounds. These dispersion relations provide complex wave numbers. The wave numbers are shown in graphs to discuss the nature and behavior of waves and the properties of plasma lying in the vicinity of the Schwarzschild event horizon.