Isothermal Plasma Wave Properties of the Schwarzschild de-Sitter Black Hole in a Veselago Medium
arXiv:1111.3601 · doi:10.1007/s10509-012-1022-9
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.
24 pages, 12 figures, accepted for publication in Astrophys. Space Sci. arXiv admin note: text overlap with arXiv:1101.0884 and arxiv:1007.2854
References in corpus (12)
- Black Holes in Astrophysics
- Cold Plasma Dispersion Relations in the Vicinity of a Schwarzschild Black Hole Horizon
- Effects of Schwarzschild Black Hole Horizon on Isothermal Plasma Wave Dispersion
- Transverse Wave Propagation in Relativistic Two-fluid Plasmas around Schwarzschild-de Sitter Black Hole
- Complex Wave Numbers in the Vicinity of the Schwarzschild Event Horizon
- Effects of Schwarzschild Geometry on Isothermal Plasma Wave Dispersion
- Wave Properties of Isothermal Magneto-Rotational Fluids
- Wave Properties of Plasma Surrounding the Event Horizon of a Non-Rotating Black Hole
- Isothermal Plasma Waves in Gravitomagnetic Planar Analogue
- Hot Plasma Waves in Schwarzschild Magnetosphere
- Plasma Wave Properties of the Schwarzschild Magnetosphere in a Veselago Medium
- Hot Plasma Waves Surrounding the Schwarzschild Event Horizon in a Veselago Medium