Homogeneity and plane-wave limits

Details Homogeneity and plane-wave limits Homogeneity and plane-wave limits

2005-04-07

arxiv.org/abs/hep-th/0504069v2

JHEP0505:050,2005

Physics

High Energy Physics

High Energy Physics - Theory

In memory of Stanley Hobert, 33 pages. Minor corrections and some simplification of Section 4.3.1

Scientific paper

10.1088/1126-6708/2005/05/050

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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