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arXiv · 1104.3401

Stable Magnetic Universes Revisited

Tayebeh Tahamtan·Mustafa Halilsoy
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Abstract

A regular class of static, cylindrically symmetric pure magnetic field metrics is rederived in a different metric ansatz in all dimensions. Radial, time dependent perturbations show that for dimensions d>3 such spacetimes are stable at both near r\approx0 and large radius r\rightarrow\infty. In a different gauge these stability analysis and similar results were known beforehand. For d=3, however, simultaneous stability requirement at both, near and far radial distances can not be reconciled for time - dependent perturbations. Restricted, numerical geodesics for neutral particles reveal a confinement around the center in the polar plane. Charged, time-like geodesics for d=4 on the other hand are shown numerically to run toward infinity.

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Tayebeh Tahamtan, Mustafa Halilsoy. 2011-06-29. Stable Magnetic Universes Revisited. https://doi.org/10.1007/s10509-012-1217-0

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