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Longitudinal Wave Propagation in Relativistic Two-Fluid Plasmas Around Reissner-Nordström Black Hole

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Abstract

The 3+1 spacetime formulation of general relativity is used to investigate the transverse waves propagating in a plasma influenced by the gravitational field of Reissner-Nordström black hole, as explained in an earlier paper, to take account of relativistic effects due to the event horizon. Here, a local approximation is used to investigate the one-dimensional radial propagation of longitudinal waves. We derive the dispersion relation for these waves and solve it numerically for the wave number k.

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Authors and Affiliations

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

    M. Atiqur Rahman

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  1. M. Atiqur Rahman
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Correspondence to M. Atiqur Rahman.

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Rahman, M.A. Longitudinal Wave Propagation in Relativistic Two-Fluid Plasmas Around Reissner-Nordström Black Hole. Int J Theor Phys 50, 698–718 (2011). https://doi.org/10.1007/s10773-010-0600-2

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  • DOI: https://doi.org/10.1007/s10773-010-0600-2

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