Effects of Schwarzschild Black Hole Horizon on Isothermal Plasma Wave Dispersion
arXiv:0708.2690 · doi:10.1007/s10714-007-0505-4
Abstract
The 3+1 GRMHD equations for Schwarzschild spacetime in Rindler coordinates with isothermal state of plasma are formulated. We consider the cases of non-rotating and rotating backgrounds with non-magnetized and magnetized plasmas. For these cases, the perturbed form of these equations are linearized and Fourier analyzed by introducing plane wave type solutions. The determinant of these equations in each case leads to two dispersion relations which give value of the wave number . Using the wave number, we obtain information like phase and group velocities etc. which help to discuss the nature of the waves and their characteristics. These provide interesting information about the black hole magnetosphere near the horizon. There are cases of normal and anomalous dispersion. We find a case of normal dispersion of waves when the plasma admits the properties of Veselago medium. Our results agree with those of Mackay et al. according to which rotation of a black hole is required for negative phase velocity propagation.
arXiv comment23 pages, 8 figures accepted for publication in Gen. Relat. Grav
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Cited by in corpus (10)
- Wave Properties of Isothermal Magneto-Rotational Fluids
- Wave Properties of Plasma Surrounding the Event Horizon of a Non-Rotating Black Hole
- Plasma Wave Properties of the Schwarzschild Magnetosphere in a Veselago Medium
- Hot Plasma Waves in Schwarzschild Magnetosphere
- Hot Plasma Waves Surrounding the Schwarzschild Event Horizon in a Veselago Medium
- Negative and positive refraction are not Lorentz covariant
- Dispersion Modes of Hot Plasma for Schwarzschild de-Sitter Horizon in a Veselago Medium
- Isothermal Plasma Wave Properties of the Schwarzschild de-Sitter Black Hole in a Veselago Medium
- Cold Plasma Wave Analysis in Magneto-Rotational Fluids
- Hot Plasma Modes Across Reissner-Nordstrom de Sitter Horizon in a Veselago Medium