Plasma electrodynamics in the expanding Universe

The modification of the Vlasov equation, in its standard form describing a charged particle distribution in the six-dimensional phase space, is derived explicitly within a formal Hamiltonian approach for arbitrarily curved spacetime. The equation accounts simultaneously for the Lorentz force and the effects of general relativity, with the latter appearing as the gravity force and an additional force due to the extrinsic curvature of spatial hypersurfaces. For an arbitrary spatial metric, the equations of collisionless hydrodynamics are also obtained in the usual three-vector form.

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“…The same problem was previously addressed ad hoc for a specific metric in Refs. [12,13] and more generally in Refs. [14,15].…”

Section: Introductionmentioning

confidence: 99%

Vlasov equation and collisionless hydrodynamics adapted to curved spacetime

Dodin

Fisch

2010

Physics of Plasmas

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“…Durrer and Straumann [13] deduced some basic results of GR by using this formalism. Holcomb and Tajima [14], Holcomb [15] and Dettmann et al [16] studied the wave properties for the Friedmann universe. Buzzi et al [17] investigated the plasma wave propagation close to the Schwarzschild magnetosphere.…”

Section: Introductionmentioning

confidence: 99%

Hot plasma waves surrounding the Schwarzschild event horizon in a Veselago medium

Sharif

Mukhtar

2011

Astrophys Space Sci

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This paper investigates wave properties of hot plasma in a Veselago medium. For the Schwarzschild black hole, the 3 + 1 GRMHD equations are re-formulated which are linearly perturbed and then Fourier analyzed for rotating (non-magnetized and magnetized) plasmas. The graphs of wave vector, refractive index and change in refractive are used to discuss the wave properties. The results obtained confirm the presence of Veselago medium for both rotating (non-magnetized and magnetized) plasmas. This work generalized the isothermal plasma waves in the Veselago medium to hot plasma case.

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“…Zhang [11,12] considered the case of perfect GRMHD waves in the vicinity of Kerr black hole and dis-cussed the linearized waves for the cold (negligible particle pressure) plasma propagating in two-dimensions. Holcomb and Tajima [13], Holcomb [14], and Dettmann et al [15] investigated some properties of wave propagation in the Friedmann universe. Khanna [16] derived the GRMHD equations for two-fluid plasma in Kerr black hole.…”

Section: Introductionmentioning

confidence: 99%

Dispersion Relations for Cold Plasmas Around Reissner-Nordström Black Holes

Ali

Hasan

2009

Int J Theor Phys

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We investigate the general relativistic magnetohydrodynamic (GRMHD) equations for cold plasma around the Reissner-Nordström 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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Plasma electrodynamics in the expanding Universe

Cited by 70 publications

References 14 publications

Vlasov equation and collisionless hydrodynamics adapted to curved spacetime

Vlasov equation and collisionless hydrodynamics adapted to curved spacetime

Hot plasma waves surrounding the Schwarzschild event horizon in a Veselago medium

Dispersion Relations for Cold Plasmas Around Reissner-Nordström Black Holes

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