Investigation of Waves Propagating in Isothermal Plasma Around de Sitter Black Hole

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3+1 Formalism, Rindler Coordinates, Near-Horizon Magnetohydrodynamics

Scientific paper

We investigate the wave properties for isothermal plasma state around to the de Sitter black hole's horizon using 3+1 split of spacetime. The corresponding Fourier analyzed perturbed perfect GRMHD equations are used to obtain the complex dispersion relations. We obtain the real values of the wave number k, from these relations, which are used to evaluate the quantities like phase and group velocities etc. These have been analyzed graphically in the neighborhood of the horizon.

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