Wave Properties of Plasma Surrounding the Event Horizon of a Non-Rotating Black Hole

Abstract

We have studied the wave properties of the cold and isothermal plasma in the vicinity of the Schwarzschild black hole event horizon. The Fourier analyzed perturbed 3+1 GRMHD equations are taken on the basis of which the complex dispersion relations are obtained for non-rotating, rotating non-magnetized and rotating magnetized backgrounds. The propagation and attenuation vectors along with the refractive index are obtained (shown in graphs) to study the dispersive properties of the medium near the event horizon. The results show that no information can be obtained from the Schwarzschild magnetosphere. Further, the pressure ceases the existence of normal dispersion of waves.

arXiv comment31 pages, 21 figures, accepted for publication in Canadian J. Phys

References in corpus (3)

• Cold Plasma Dispersion Relations in the Vicinity of a Schwarzschild Black Hole Horizon
• Effects of Schwarzschild Black Hole Horizon on Isothermal Plasma Wave Dispersion
• Complex Wave Numbers in the Vicinity of the Schwarzschild Event Horizon

Cited by in corpus (6)

• Wave Properties of Isothermal Magneto-Rotational Fluids
• Plasma Wave Properties of the Schwarzschild Magnetosphere in a Veselago Medium
• Hot Plasma Waves in Schwarzschild Magnetosphere
• Hot Plasma Waves Surrounding the Schwarzschild Event Horizon in a Veselago Medium
• Isothermal Plasma Wave Properties of the Schwarzschild de-Sitter Black Hole in a Veselago Medium
• Dispersion Modes of Hot Plasma for Schwarzschild de-Sitter Horizon in a Veselago Medium