Dispersion Relations for Cold Plasmas around Reissner-Nordström Black Holes

Details Dispersion Relations for Cold Plasmas around Reissner-Nordström Black Holes Dispersion Relations for Cold Plasmas around Reissner-Nordström Black Holes

2009-04-22

arxiv.org/abs/0904.3377v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

25 pages, 9 figures

Scientific paper

We investigate the general relativistic magnetohydrodynamic (GRMHD) equations for cold plasma around the Reissner-Nordstr\"om black hole. Applying 3+1 spacetime split we linearize the perturbed equations for non-magnetized/magnetized plasma in both rotating and non-rotating background. By Fourier analyze we then derive dispersion relations and investigate the existence of waves with positive angular frequency in the vicinity of the black hole horizon. The analysis finds propagation of negative phase and group velocities for rotating magnetized surroundings.

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