Penrose limits of homogeneous spaces
Differential Geometry
2015-06-26 v2 High Energy Physics - Theory
Abstract
We prove that the Penrose limit of a spacetime along a homogeneous geodesic is a homogeneous plane wave spacetime and that the Penrose limit of a reductive homogeneous spacetime along a homogeneous geodesic is a Cahen--Wallach space. We then consider several homogenous examples to show that these results are indeed sharp and conclude with a remark about the existence of null homogeneous geodesics.
Cite
@article{arxiv.math/0405506,
title = {Penrose limits of homogeneous spaces},
author = {Simon Philip},
journal= {arXiv preprint arXiv:math/0405506},
year = {2015}
}
Comments
16 pages, many changes particularly to sections 6 and 7