English

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

General Relativity and Quantum Cosmology 2009-05-29 v2 Astrophysics

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 Alfv\'en and high frequency electromagnetic waves. We derive the dispersion relation for these waves and solve it for the wave number kk numerically.

Keywords

Cite

@article{arxiv.0807.4595,
  title  = {Transverse Wave Propagation in Relativistic Two-fluid Plasmas around Schwarzschild-de Sitter Black Hole},
  author = {M. Hossain Ali and M. Atiqur Rahman},
  journal= {arXiv preprint arXiv:0807.4595},
  year   = {2009}
}

Comments

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