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Living Reviews in Relativity  [Peer Reviewed]
(Published By: Max Planck Institute for Gravitational Physics (Albert Einstein Institute))
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Currently Viewing: Vol. 13,     2010       
  1Cosmic Censorship for Gowdy Spacetimes
   Author(s):Hans Ringström
  Author Address : Department of Mathematics, Royal Institute of Technology S-100 44 Stockholm, Sweden
  Keyword(s) :Gowdy Spacetimes;Cosmic Censorship;Symmetry Condition;Asymptotic Behavior;Mathematical Analysis;Complexity;Mathematician;Conjectures
  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.

    
   
  2Interferometer Techniques for Gravitational-wave Detection
   Author(s):Andreas Freise
  Author Address : School of Physics and Astronomy University of Birmingham Birmingham, B15 2TT, UK
  Keyword(s) :Length Measurements;Optical Elements;Optical Systems;Optical Techniques;Gravitational Wave Detectors;Simulation Software;Optical Methods;Interferometers
  Abstract:

Several km-scale gravitational-wave detectors have been constructed world wide. These instruments combine a number of advanced technologies to push the limits of precision length measurement. The core devices are laser interferometers of a new kind; developed from the classical Michelson topology these interferometers integrate additional optical elements, which significantly change the properties of the optical system. Much of the design and analysis of these laser interferometers can be performed using well-known classical optical techniques, however, the complex optical layouts provide a new challenge. In this review we give a textbook-style introduction to the optical science required for the understanding of modern gravitational wave detectors, as well as other high-precision laser interferometers. In addition, we provide a number of examples for a freely available interferometer simulation software and encourage the reader to use these examples to gain hands-on experience with the discussed optical methods.

    
   
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