Homogeneity and plane-wave limits

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Published 24 May 2005 • Published under licence by IOP Publishing Ltd
, , Citation José Figueroa-O'Farrill et al JHEP05(2005)050 DOI 10.1088/1126-6708/2005/05/050

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Author affiliations

1 School of Mathematics, University of Edinburgh, Scotland, U.K.

2 Physics Department, Theory, CERN, Geneva, Switzerland

Dates

  1. Received 13 April 2005
  2. Accepted 10 May 2005
  3. Published

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1126-6708/2005/05/050

Abstract

We explore the plane-wave limit of homogeneous spacetimes. For plane-wave limits along homogeneous geodesics the limit is known to be homogeneous and we exhibit the limiting metric in terms of Lie algebraic data. This simplifies many calculations and we illustrate this with several examples. We also investigate the behaviour of (reductive) homogeneous structures under the plane-wave limit.

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10.1088/1126-6708/2005/05/050