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Longitudinal Wave Propagation in Relativistic Two-fluid Plasmas around Reissner-Nordstrom Black Hole

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-Nordstrom 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.

preprint2010arXivOpen access
Md. Atiqur Rahman
gr-qc
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Md. Atiqur Rahman

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