Homogeneity and plane-wave limits
High Energy Physics - Theory
2009-11-11 v2 Differential Geometry
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.
Keywords
Cite
@article{arxiv.hep-th/0504069,
title = {Homogeneity and plane-wave limits},
author = {José Figueroa-O'Farrill and Patrick Meessen and Simon Philip},
journal= {arXiv preprint arXiv:hep-th/0504069},
year = {2009}
}
Comments
In memory of Stanley Hobert, 33 pages. Minor corrections and some simplification of Section 4.3.1