All the three dimensional Lorentzian metrics admitting three Killing vectors
General Relativity and Quantum Cosmology
2020-06-17 v2 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
We obtain all the three-dimensional Lorentzian metrics which admit three Killing vectors. The classification has been done with the aid of the formalism which exploits the obstruction criteria for the Killing equations recently developed by present authors. The current classification method does not rely on the transitivity property of the isometry group. It turns out that the Lorentzian manifold harbors a much richer spectrum of metrics with various Segre types, compared to the Riemannian case.
Keywords
Cite
@article{arxiv.1910.12443,
title = {All the three dimensional Lorentzian metrics admitting three Killing vectors},
author = {Masato Nozawa and Kentaro Tomoda},
journal= {arXiv preprint arXiv:1910.12443},
year = {2020}
}
Comments
29 pages, 1 table; v2: references added, accepted version in CQG