| GEOPHYSICS, ASTRONOMY, AND ASTROPHYSICS |
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Dispersion Relations for Isothermal Plasma around the Horizon of Reissner-Nordström-de Sitter Black Hole |
| M. Khayrul Hasan1, M. Hossain Ali2 |
| 1Department of Mathematics, Shahjalal University of Science and Technology, Sylhet-3100, Bangladesh2Department of Applied Mathematics, University of Rajshahi, Rajshahi-6205, Bangladesh |
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| Cite this article: |
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M. Khayrul Hasan, M. Hossain Ali 2009 Chin. Phys. Lett. 26 109501 |
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Abstract We formulate the general relativistic magnetohydrodynamic equations for isothermal plasma in spatially flat Reissner-Nordström-de Sitter metric by using 3+1 split of spacetime. Respective perturbed equations are linearized for rotating magnetized surroundings. These are then Fourier analyzed and the corresponding dispersion relations are obtained. These relations are discussed both analytically and numerically in order to investigate the nature of waves with positive angular frequency around the horizon.
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| Keywords:
95.30.Sf
95.30.Qd
04.30.Nk
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Received: 15 June 2009
Published: 27 September 2009
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| PACS: |
95.30.Sf
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(Relativity and gravitation)
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95.30.Qd
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(Magnetohydrodynamics and plasmas)
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04.30.Nk
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(Wave propagation and interactions)
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