Cauchy horizons in Gowdy space times

TL;DR

This paper thoroughly analyzes non-degenerate Cauchy horizons in Gowdy space-times and demonstrates the existence of a broad class of such space-times, contributing to the understanding of cosmic censorship.

Contribution

It provides a comprehensive analysis of Cauchy horizons in Gowdy space-times and proves the existence of a large class of non-polarized solutions with these horizons.

Findings

Existence of non-polarized Gowdy space-times with Cauchy horizons

Strong cosmic censorship established for toroidal Gowdy space-times

Deep connections with recent results by Ringström

Abstract

We analyse exhaustively the structure of \emph{non-degenerate} Cauchy horizons in Gowdy space-times, and we establish existence of a large class of non-polarized Gowdy space-times with such horizons. Added in proof: Our results here, together with deep new results of H. Ringstr\"om (talk at the Miami Waves conference, January 2004), establish strong cosmic censorship in (toroidal) Gowdy space-times.