All the three dimensional Lorentzian metrics admitting three Killing vectors

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.

29 pages, 1 table; v2: references added, accepted version in CQG

References in corpus (3)

• Invariant characterization of Liouville metrics and polynomial integrals
• Counting the number of Killing vectors in a 3D spacetime
• Characterization of three-dimensional Lorentzian metrics that admit four Killing vectors

Cited by in corpus (1)

• An alternative to the Simon tensor