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Article overview
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Stability of exact force-free electrodynamic solutions and scattering from spacetime curvature | | Fan Zhang
; Sean T. McWilliams
; Harald P. Pfeiffer
; | | Date: |
22 Jan 2015 | | Abstract: | Recently, a family of exact force-free electrodynamic (FFE) solutions was
discovered by Brennan, Gralla and Jacobson, which generalizes earlier solutions
by Menon and Dermer, Michel, and other authors. These solutions have been
proposed as useful models for describing the outer magnetosphere of conducting
stars. As with any exact analytical solution that aspires to describe actual
physical systems, it is vitally important that the solution possesses the
necessary stability. In this paper, we show via fully nonlinear numerical
simulations that the aforementioned FFE solutions, despite being highly special
in their properties, are nonetheless stable under small perturbations. Through
this study, we also introduce a three dimensional pseudo-spectral relativistic
FFE code that achieves exponential convergence for smooth test cases, as well
as two additional well-posed FFE evolution systems in the appendix that have
desirable mathematical properties. Furthermore, we provide an explicit analysis
that demonstrates how propagation along degenerate principal null directions of
the spacetime curvature tensor simplifies scattering, thereby providing an
intuitive understanding of why these exact solutions are tractable; i.e. why
they are not backscattered by spacetime curvature. | | Source: | arXiv, 1501.5394 | | Services: | Forum | Review | PDF | Favorites | |
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