On homogeneous 3-dimensional spacetimes: focus on plane waves

Autor:	Allout, Souheib, Belkacem, Abderrahmane, Zeghib, Abdelghani
Rok vydání:	2022
Předmět:	Mathematics - Differential Geometry
Druh dokumentu:	Working Paper
Popis:	We revisit the classification of Lorentz homogeneous spaces of dimension 3, fixing statements in the literature and relaxing usual completeness assumptions. In particular, non-unimodular elliptic plane waves, and only them, are neither locally symmetric nor locally isometric to a left invariant Lorentz metric on a 3-dimensional Lie group. We characterize homogeneous plane waves in dimension 3, and prove they are non-extendable, and geodesically complete only if they are symmetric. Finally, only one non-flat plane wave has a compact model. Comment: Some corrections are made
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2210.11439 Zobrazit plný text záznamu View this record from Arxiv