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
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
摘要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.
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.
M. Khayrul Hasan;M. Hossain Ali. Dispersion Relations for Isothermal Plasma around the Horizon of Reissner-Nordström-de Sitter Black Hole[J]. 中国物理快报, 2009, 26(10): 109501-109501.
M. Khayrul Hasan, M. Hossain Ali. Dispersion Relations for Isothermal Plasma around the Horizon of Reissner-Nordström-de Sitter Black Hole. Chin. Phys. Lett., 2009, 26(10): 109501-109501.
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