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arXiv · 0807.4595

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

M. Hossain Ali·M. Atiqur Rahman
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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.

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M. Hossain Ali, M. Atiqur Rahman. 2009-01-10. Transverse Wave Propagation in Relativistic Two-fluid Plasmas around Schwarzschild-de Sitter Black Hole. https://doi.org/10.1007/s10773-009-9946-8

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