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

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Nungesser,  Ernesto
Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Rendall,  Alan D.
Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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cqg9_10_105019.pdf
(Publisher version), 158KB

0901.4000v1.pdf
(Preprint), 179KB

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Citation

Nungesser, E., & Rendall, A. D. (2009). Strong cosmic censorship for solutions of the Einstein-Maxwell equations with polarized Gowdy symmetry. Classical and Quantum Gravity, 26: 105019. doi:10.1088/0264-9381/26/10/105019.


Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-45BA-5
Abstract
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.