Homogeneity and plane-wave limits
高能物理 - 理论
2009-11-11 v2 微分几何
摘要
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.
关键词
引用
@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}
}
备注
In memory of Stanley Hobert, 33 pages. Minor corrections and some simplification of Section 4.3.1