Abstract
The electrodynamic instability of a self-gravitating dielectric fluid cylinder (density ϱ i) surrounded by another self-gravitating dielectric fluid of different density ϱ e pervaded by a radial varying electric field is investigated. A general eigenvalue relation valid to all possible modes of pertubation is derived, studied analytically and the results are confirmed numerically. The system is gravitationally marginal stable if ϱ e = ϱ i, there will be stable and unstable domains as ϱ e < ϱ i and it is purely unstable for all (short and long) wavelengths if ϱ e > ϱ i in all axisymmetric and non-axisymmetric pertubations. The electric fields interior and exterior to the fluid cylinder are strongly stabilizing for all values of ϱ i, ϱ e, for all wavelengths. The restrictions required for suppressing the gravitational instability are identified; these results are interpreted physically. The results of Chandrasekhar and Fermi are recovered from ours as a limiting case.
Published Version
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