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

Details Transverse Wave Propagation in Relativistic Two-fluid Plasmas around Reissner-Nordström-de Sitter Black Hole Transverse Wave Propagation in Relativistic Two-fluid Plasmas around Reissner-Nordström-de Sitter Black Hole

2009-02-22

arxiv.org/abs/0902.3766v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

22 pages, 8 figures

Scientific paper

The transverse electromagnetic waves propagating in a relativistic two-fluid plasma influenced by the gravitational field of the Reissner-Nordstr\"{o}m-de Sitter black hole has been investigated exploiting 3+1 split of spacetime. Reformulating the two-fluid equations, the set of simultaneous linear equations for the perturbations have been derived. Using a local approximation, the one-dimensional radial propagation of Alfv\'{e}n and high frequency electromagnetic waves are investigated. The dispersion relation for these waves is obtained and solved numerically for the wave number.

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