Hot Plasma Modes Across Reissner-Nordstrom de Sitter Horizon in a Veselago Medium

In this manuscript, wave attributes of hot plasma around Reissner- Nordstrom-de Sitter (RN-dS) metric in a Veselago medium are in- vestigated. General relativistic magnetohydrodynamical (GRMHD) equations in planar coordinates for the RN-dS horizon are reformulated by implementation of ADM 3+1 technique. Further, perturba- tion scheme is used to arrive at linearly perturbed GRMHD equations whose component form is used to attain dispersion relations for rotating (non-magnetized and magnetized) plasma. Wave propagation in hot plasma is explained by three dimensional graphical representation of the wave number, refractive index, its change with respect to angular velocity, phase and group velocities. Finally, comparison of wave properties is presented, results reassert the presence of Veselago medium.