All the three dimensional Lorentzian metrics admitting three Killing vectors
arXiv:1910.12443 · doi:10.1088/1361-6382/ab719e
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.
arXiv comment29 pages, 1 table; v2: references added, accepted version in CQG
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