Isothermal Plasma Wave Properties of the Schwarzschild de-Sitter Black Hole in a Veselago Medium

TL;DR

This study investigates wave behaviors of isothermal plasma around Schwarzschild de-Sitter black holes within a Veselago medium, revealing unique wave dispersion properties through relativistic magnetohydrodynamics and graphical analysis.

Contribution

It introduces a novel analysis of plasma wave properties in a Veselago medium near Schwarzschild de-Sitter black holes using GRMHD equations and Fourier analysis.

Findings

Existence of Veselago medium confirmed

Wave dispersion modes characterized

Refractive index and velocities analyzed

Abstract

In this paper, we study wave properties of isothermal plasma for the Schwarzschild de-Sitter black hole in a Veselago medium. We use ADM 3+1 formalism to formulate general relativistic magnetohydrodynamical (GRMHD) equations for the Schwarzschild de-Sitter spacetime in Rindler coordinates. Further, Fourier analysis of the linearly perturbed GRMHD equations for the rotating (non-magnetized and magnetized) background is taken whose determinant leads to a dispersion relation. We investigate wave properties by using graphical representation of the wave vector, the refractive index, change in refractive index, phase and group velocities. Also, the modes of wave dispersion are explored. The results indicate the existence of the Veselago medium.