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arxiv: 0901.4000 · v2 · pith:VKC7HVWQnew · submitted 2009-01-26 · 🌀 gr-qc

Strong cosmic censorship for solutions of the Einstein-Maxwell field equations with polarized Gowdy symmetry

classification 🌀 gr-qc
keywords equationscensorshipcosmiceinstein-maxwellgowdystrongcasecentral
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A proof of strong cosmic censorship is presented for a class of solutions of the Einstein-Maxwell equations, those with polarized Gowdy symmetry. A key element of the argument is the observation that by means of a suitable choice of variables the central equations in this problem can be written in a form where they are identical to the central equations for general (i.e. non-polarized) vacuum Gowdy spacetimes. Using this it is seen that the deep results of Ringstr\"om on strong cosmic censorship in the vacuum case have implications for the Einstein-Maxwell case. Working out the geometrical meaning of these analytical results leads to the main conclusion.

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