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Transverse Wave Propagation in Relativistic Two-Fluid Plasmas around Reissner–Nordström Black Hole

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Abstract

We investigate transverse electromagnetic waves propagating in a plasma influenced by the gravitational field of the Reissner–Nordström black hole. Applying 3+1 spacetime split we reformulate 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. Using a local approximation we 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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Authors and Affiliations

  1. Department of Applied Mathematics, Rajshahi University, Rajshahi, 6205, Bangladesh

    M. Hossain Ali & M. Atiqur Rahman

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  1. M. Hossain Ali
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  2. M. Atiqur Rahman
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Correspondence to M. Hossain Ali.

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Hossain Ali, M., Atiqur Rahman, M. Transverse Wave Propagation in Relativistic Two-Fluid Plasmas around Reissner–Nordström Black Hole. Int J Theor Phys 47, 772–796 (2008). https://doi.org/10.1007/s10773-007-9502-3

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  • DOI: https://doi.org/10.1007/s10773-007-9502-3

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