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Force-Free Magnetohydrodynamic Waves: Non-Linear Interactions and Effects of Strong Gravity | Parker Troischt
; Christopher Thompson
; | Date: |
17 Jul 2005 | Journal: | Phys.Rev. D70 (2004) 124030 | Subject: | astro-ph | Affiliation: | UNC Chapel Hill) and Christopher Thompson (CITA | Abstract: | The propagation and non-linear interactions of magnetohydrodynamic waves are considered in the force-free limit, where the inertia of the conducting matter which enforces the MHD condition E.B = 0 can be neglected in comparison with the inertia of the electromagnetic field. By extending the analysis beyond the WKB approximation, we are able to study the non-linearities induced by a gravitational field. We treat the perturbed electromagnetic field as a fluid of infinite conductivity. We calculate the scattering of a torsional (Alfven) wave by a gravitational potential, and demonstrate a nonlinear coupling with a compressive (fast) wave which is second order in the amplitude of the Alfven wave. In a cylindrically symmetric spacetime with slow rotation, the coupling is second order in g_{tphi} and first order in the amplitude of the wave. We also give a fresh analysis of the non-linear interactions between compressive and torsional waves in Minkowski space, with a focus on the relative strengths of their three- and four-mode interactions. In contrast with non-relativistic magnetofluids, the effects of compression are always present. In the case of colliding fast waves, a net displacement of the field lines across (at least) one of the colliding wavepackets is shown to have a strong effect on the outgoing waveform, and to have a qualitatively different interpretation than was previously suggested for colliding Alfven waves. Finally, we show how spacetime curvature modifies the collision between two torsional waves, in both the weak- and strong-field regimes. | Source: | arXiv, astro-ph/0507386 | Services: | Forum | Review | PDF | Favorites |
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