Polarized Electrogowdy spacetimes censored

TL;DR

This paper demonstrates that strong cosmic censorship holds for polarized Gowdy symmetric Einstein-Maxwell solutions by relating their equations to vacuum Gowdy spacetimes, extending known vacuum results to the Einstein-Maxwell context.

Contribution

It shows that the Einstein-Maxwell equations with polarized Gowdy symmetry can be analyzed using vacuum Gowdy techniques, establishing strong cosmic censorship in this setting.

Findings

Strong cosmic censorship holds for polarized Gowdy Einstein-Maxwell solutions.

The equations can be transformed to match vacuum Gowdy equations, enabling known results to be applied.

Implications of vacuum Gowdy results extend to Einstein-Maxwell solutions.

Abstract

A sketch of the 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 results of Ringstr\"{o}m 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.