Vol. 13 (2010) > lrr-2010-2

doi: 10.12942/lrr-2010-2
Living Rev. Relativity 13 (2010), 2

Cosmic Censorship for Gowdy Spacetimes

1 Department of Mathematics, Royal Institute of Technology, S-100 44 Stockholm, Sweden

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Article Abstract

Due to the complexity of Einstein’s equations, it is often natural to study a question of interest in the framework of a restricted class of solutions. One way to impose a restriction is to consider solutions satisfying a given symmetry condition. There are many possible choices, but the present article is concerned with one particular choice, which we shall refer to as Gowdy symmetry. We begin by explaining the origin and meaning of this symmetry type, which has been used as a simplifying assumption in various contexts, some of which we shall mention. Nevertheless, the subject of interest here is strong cosmic censorship. Consequently, after having described what the Gowdy class of spacetimes is, we describe, as seen from the perspective of a mathematician, what is meant by strong cosmic censorship. The existing results on cosmic censorship are based on a detailed analysis of the asymptotic behavior of solutions. This analysis is in part motivated by conjectures, such as the BKL conjecture, which we shall therefore briefly describe. However, the emphasis of the article is on the mathematical analysis of the asymptotics, due to its central importance in the proof and in the hope that it might be of relevance more generally. The article ends with a description of the results that have been obtained concerning strong cosmic censorship in the class of Gowdy spacetimes.

Keywords: Gowdy models, cosmic censorship, Cauchy problem

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Since a Living Reviews in Relativity article may evolve over time, please cite the access <date>, which uniquely identifies the version of the article you are referring to:

Hans Ringström,
"Cosmic Censorship for Gowdy Spacetimes",
Living Rev. Relativity 13,  (2010),  2. URL (cited on <date>):

Article History

ORIGINAL http://www.livingreviews.org/lrr-2010-2
Title Cosmic Censorship for Gowdy Spacetimes
Author Hans Ringström
Date accepted 29 March 2010, published 13 April 2010
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