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

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

2009-01-26

arxiv.org/abs/0901.4000v2

Class.Quant.Grav.26:105019,2009

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

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Scientific paper

10.1088/0264-9381/26/10/105019

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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