On the Properties of Time-Dependent, Force-Free, Degenerate Electrodynamics

Details On the Properties of Time-Dependent, Force-Free, Degenerate Electrodynamics On the Properties of Time-Dependent, Force-Free, Degenerate Electrodynamics

2002-02-25

arxiv.org/abs/astro-ph/0202447v1

Mon.Not.Roy.Astron.Soc. 336 (2002) 759

Astronomy and Astrophysics

Astrophysics

MNRAS, in press

Scientific paper

10.1046/j.1365-8711.2002.05313.x

This paper formulates time-dependent, force-free, degenerate electrodynamics as a hyperbolic system of conservation laws. It is shown that this system has four characteristic modes, a pair of fast waves propagating with the speed of light and a pair of Alfven waves. All these modes are linearly degenerate. The results of this analytic study can be used in developing upwind numerical schemes for the electrodynamics of black holes and pulsar magnetospheres. As an example, this paper describes a simple one-dimensional numerical scheme based on linear and exact Riemann solvers.

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