Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1894520 | Journal of Geometry and Physics | 2016 | 19 Pages |
Abstract
We show that every nn-dimensional locally homogeneous pp-wave is a plane wave, provided it is indecomposable and its curvature operator, when acting on 2-forms, has rank greater than one. As a consequence we obtain that indecomposable, Ricci-flat locally homogeneous pp-waves are plane waves. This generalises a classical result by Jordan, Ehlers and Kundt in dimension 4. Several examples show that our assumptions on indecomposability and the rank of the curvature are essential.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Wolfgang Globke, Thomas Leistner,