Transverse Wave Propagation in Relativistic Two-fluid Plasmas around Schwarzschild-de Sitter Black Hole

Abstract

We investigate transverse electromagnetic waves propagating in a plasma influenced by the gravitational field of the Schwarzschild-de Sitter black hole. Applying 3+1 spacetime split we derive the relativistic two-fluid equations to take account of gravitational effects due to the event horizon and describe the set of simultaneous linear equations for the perturbations. We use a local approximation to investigate the one-dimensional radial propagation of Alfvén and high frequency electromagnetic waves. We derive the dispersion relation for these waves and solve it for the wave number $k$ numerically.

Accepted for publication in IJTP; (20 pages, 6 figures)

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Cited by in corpus (8)

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• Hot Plasma Waves in Schwarzschild Magnetosphere
• Waves in General Relativistic Two-fluid Plasma around a Schwarzschild Black Hole
• Dispersion Modes of Hot Plasma for Schwarzschild de-Sitter Horizon in a Veselago Medium
• Isothermal Plasma Wave Properties of the Schwarzschild de-Sitter Black Hole in a Veselago Medium
• Transverse Wave Propagation in Relativistic Two-fluid Plasmas around Schwarzschild-anti-de Sitter Black Hole
• Hot Plasma Modes Across Reissner-Nordstrom de Sitter Horizon in a Veselago Medium
• Numerical Solutions of ideal two-fluid equations very closed to the event horizon of Schwarzschild black hole